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100846062021796 = 227213223223992
BaseRepresentation
bin10110111011100000001101…
…101101000010110010100100
3111020001210022110021102100121
4112323200031231002302210
5101204230213334144141
6554252012532051324
730145613266521100
oct2673401555026244
9436053273242317
10100846062021796
112a150635a61683
12b388786163b44
134436987047c00
141ac8d9289a900
15b9d3868831d1
hex5bb80db42ca4

100846062021796 has 243 divisors, whose sum is σ = 232482721976001. Its totient is φ = 38144667008448.

The previous prime is 100846062021697. The next prime is 100846062021797. The reversal of 100846062021796 is 697120260648001.

The square root of 100846062021796 is 10042214.

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

It can be written as a sum of positive squares in only one way, i.e., 14918056512100 + 85928005509696 = 3862390^2 + 9269736^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (100846062021797) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42036706605 + ... + 42036709003.

Almost surely, 2100846062021796 is an apocalyptic number.

100846062021796 is the 10042214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100846062021796

100846062021796 is an abundant number, since it is smaller than the sum of its proper divisors (131636659954205).

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

100846062021796 is an equidigital number, since it uses as much as digits as its factorization.

100846062021796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 100846062021796 in words is "one hundred trillion, eight hundred forty-six billion, sixty-two million, twenty-one thousand, seven hundred ninety-six".