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80495061385216 = 21429224172
BaseRepresentation
bin10010010011010110110111…
…100010100100000000000000
3101120000020211020012002222211
4102103112313202210000000
541022312341203311331
6443110530512111504
722645401442346122
oct2223266742440000
9346006736162884
1080495061385216
1123714844717215
129040595235594
1335bb861a94a0a
1415c3da5d35212
15948cdbbdd8b1
hex4935b78a4000

80495061385216 has 135 divisors (see below), whose sum is σ = 166796854905499. Its totient is φ = 38843607154688.

The previous prime is 80495061385157. The next prime is 80495061385217. The reversal of 80495061385216 is 61258316059408.

It is a happy number.

The square root of 80495061385216 is 8971904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 29239542169600 + 51255519215616 = 5407360^2 + 7159296^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80495061385217) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 33303706440 + ... + 33303708856.

Almost surely, 280495061385216 is an apocalyptic number.

80495061385216 is the 8971904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80495061385216

80495061385216 is an abundant number, since it is smaller than the sum of its proper divisors (86301793520283).

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

80495061385216 is an frugal number, since it uses more digits than its factorization.

80495061385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 58.

The spelling of 80495061385216 in words is "eighty trillion, four hundred ninety-five billion, sixty-one million, three hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 841 928 1024 1682 1856 2048 2417 3364 3712 4096 4834 6728 7424 8192 9668 13456 14848 16384 19336 26912 29696 38672 53824 59392 70093 77344 107648 118784 140186 154688 215296 237568 280372 309376 430592 475136 560744 618752 861184 1121488 1237504 1722368 2032697 2242976 2475008 3444736 4065394 4485952 4950016 5841889 6889472 8130788 8971904 9900032 11683778 13778944 16261576 17943808 19800064 23367556 32523152 35887616 39600128 46735112 65046304 71775232 93470224 130092608 143550464 169414781 186940448 260185216 287100928 338829562 373880896 520370432 574201856 677659124 747761792 1040740864 1148403712 1355318248 1495523584 2081481728 2710636496 2991047168 4162963456 4913028649 5421272992 5982094336 8325926912 9826057298 10842545984 11964188672 16651853824 19652114596 21685091968 23928377344 33303707648 39304229192 43370183936 47856754688 78608458384 86740367872 95713509376 157216916768 173480735744 314433833536 346961471488 628867667072 693922942976 1257735334144 1387845885952 2515470668288 2775691771904 5030941336576 10061882673152 20123765346304 40247530692608 80495061385216