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20312848032 = 253475218641
BaseRepresentation
bin10010111010101111…
…010111011010100000
31221102122012121001220
4102322233113122200
5313100042114112
613155342455040
71316241234201
oct227257273240
957378177056
1020312848032
118684089414
123b2a894480
131bb9453709
14da9a815a8
157dd46698c
hex4babd76a0

20312848032 has 96 divisors (see below), whose sum is σ = 54566555904. Its totient is φ = 6613401600.

The previous prime is 20312848027. The next prime is 20312848033. The reversal of 20312848032 is 23084821302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×203128480322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20312847984 and 20312848002.

It is not an unprimeable number, because it can be changed into a prime (20312848033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2346432 + ... + 2355072.

It is an arithmetic number, because the mean of its divisors is an integer number (568401624).

Almost surely, 220312848032 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 20312848032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27283277952).

20312848032 is an abundant number, since it is smaller than the sum of its proper divisors (34253707872).

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

20312848032 is a wasteful number, since it uses less digits than its factorization.

20312848032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 20312848032 in words is "twenty billion, three hundred twelve million, eight hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 521 564 752 1042 1128 1504 1563 2084 2256 3126 4168 4512 6252 8336 8641 12504 16672 17282 24487 25008 25923 34564 48974 50016 51846 69128 73461 97948 103692 138256 146922 195896 207384 276512 293844 391792 406127 414768 587688 783584 812254 829536 1175376 1218381 1624508 2350752 2436762 3249016 4501961 4873524 6498032 9003922 9747048 12996064 13505883 18007844 19494096 27011766 36015688 38988192 54023532 72031376 108047064 144062752 211592167 216094128 423184334 432188256 634776501 846368668 1269553002 1692737336 2539106004 3385474672 5078212008 6770949344 10156424016 20312848032