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10004646423056 = 243141700170271
BaseRepresentation
bin1001000110010110001101…
…1001010110101000010000
31022102102202000022000000012
42101211203121112220100
52302404003441014211
633140023210014052
72051545315316225
oct221454331265020
938372660260005
1010004646423056
113207a460a347a
121156b73a17328
1357758497aa8c
1426832827194c
1512539cd05d8b
hex91963656a10

10004646423056 has 80 divisors (see below), whose sum is σ = 20500543881216. Its totient is φ = 4722144000000.

The previous prime is 10004646423049. The next prime is 10004646423067. The reversal of 10004646423056 is 65032464640001.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142337201 + ... + 142407471.

Almost surely, 210004646423056 is an apocalyptic number.

10004646423056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004646423056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10250271940608).

10004646423056 is an abundant number, since it is smaller than the sum of its proper divisors (10495897458160).

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

10004646423056 is a wasteful number, since it uses less digits than its factorization.

10004646423056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77352 (or 77346 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 10004646423056 in words is "ten trillion, four billion, six hundred forty-six million, four hundred twenty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 328 496 656 1271 2542 5084 7001 10168 14002 20336 28004 56008 70271 112016 140542 217031 281084 287041 434062 562168 574082 868124 1124336 1148164 1736248 2178401 2296328 2881111 3472496 4356802 4592656 5762222 8713604 8898271 11524444 17427208 17796542 23048888 34854416 35593084 46097776 71186168 89314441 142372336 178628882 357257764 491967271 714515528 983934542 1429031056 1967869084 3935738168 7871476336 15250985401 20170658111 30501970802 40341316222 61003941604 80682632444 122007883208 161365264888 244015766416 322730529776 625290401441 1250580802882 2501161605764 5002323211528 10004646423056