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83074232227848 = 233192943373319793
BaseRepresentation
bin10010111000111000111010…
…000110100001100000001000
3101220010211010002011012010020
4102320320322012201200020
541342042011422242343
6452403435254220440
723332625626652661
oct2270707206414010
9356124102135106
1083074232227848
1124519647396354
129398414354720
133747b3588a4a4
141672b585c8368
15990e410d6b83
hex4b8e3a1a1808

83074232227848 has 256 divisors, whose sum is σ = 226997908704000. Its totient is φ = 25235100205056.

The previous prime is 83074232227841. The next prime is 83074232227879. The reversal of 83074232227848 is 84872223247038.

It is a happy number.

It is a super-2 number, since 2×830742322278482 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83074232227791 and 83074232227800.

It is not an unprimeable number, because it can be changed into a prime (83074232227841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4197142240 + ... + 4197162032.

It is an arithmetic number, because the mean of its divisors is an integer number (886710580875).

Almost surely, 283074232227848 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 83074232227848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113498954352000).

83074232227848 is an abundant number, since it is smaller than the sum of its proper divisors (143923676476152).

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

83074232227848 is a wasteful number, since it uses less digits than its factorization.

83074232227848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21016 (or 21012 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 60.

The spelling of 83074232227848 in words is "eighty-three trillion, seventy-four billion, two hundred thirty-two million, two hundred twenty-seven thousand, eight hundred forty-eight".