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20000362125312 = 211321995452709
BaseRepresentation
bin1001000110000101100100…
…11110101101100000000000
32121211000102121212101012100
410203002302132231200000
510110141220201002222
6110312012311430400
74132656422026542
oct443026236554000
977730377771170
1020000362125312
116411119014158
1222b0254985400
13b21045323c7a
144d20463a3692
1524a3c6a674ac
hex1230b27ad800

20000362125312 has 144 divisors (see below), whose sum is σ = 58055003370000. Its totient is φ = 6633284714496.

The previous prime is 20000362125277. The next prime is 20000362125323. The reversal of 20000362125312 is 21352126300002.

It is a happy number.

20000362125312 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 0 + 3 + 621 + 2 + 5 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×200003621253122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 941614 + ... + 6394322.

It is an arithmetic number, because the mean of its divisors is an integer number (403159745625).

Almost surely, 220000362125312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000362125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29027501685000).

20000362125312 is an abundant number, since it is smaller than the sum of its proper divisors (38054641244688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20000362125312 is a wasteful number, since it uses less digits than its factorization.

20000362125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452936 (or 5452913 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 20000362125312 its reverse (21352126300002), we get a palindrome (41352488425314).

The spelling of 20000362125312 in words is "twenty trillion, three hundred sixty-two million, one hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 256 288 384 398 512 576 597 768 796 1024 1152 1194 1536 1592 1791 2048 2304 2388 3072 3184 3582 4608 4776 6144 6368 7164 9216 9552 12736 14328 18432 19104 25472 28656 38208 50944 57312 76416 101888 114624 152832 203776 229248 305664 407552 458496 611328 916992 1222656 1833984 3667968 5452709 10905418 16358127 21810836 32716254 43621672 49074381 65432508 87243344 98148762 130865016 174486688 196297524 261730032 348973376 392595048 523460064 697946752 785190096 1046920128 1085089091 1395893504 1570380192 2093840256 2170178182 2791787008 3140760384 3255267273 4187680512 4340356364 5583574016 6281520768 6510534546 8375361024 8680712728 9765801819 11167148032 12563041536 13021069092 16750722048 17361425456 19531603638 25126083072 26042138184 33501444096 34722850912 39063207276 50252166144 52084276368 69445701824 78126414552 100504332288 104168552736 138891403648 156252829104 208337105472 277782807296 312505658208 416674210944 555565614592 625011316416 833348421888 1111131229184 1250022632832 1666696843776 2222262458368 2500045265664 3333393687552 5000090531328 6666787375104 10000181062656 20000362125312