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10401555415232 = 2617809106311117
BaseRepresentation
bin1001011101011100110100…
…0001000000000011000000
31100211101020021120220101202
42113113031001000003000
52330404341141241412
634042224131120332
72122326145143512
oct227271501000300
940741207526352
1010401555415232
113350302955953
1211bba83a430a8
135a5b29abbcb7
1427d61badbbb2
1513087d1803c2
hex975cd0400c0

10401555415232 has 112 divisors (see below), whose sum is σ = 21904308256320. Its totient is φ = 4883760709632.

The previous prime is 10401555415219. The next prime is 10401555415241. The reversal of 10401555415232 is 23251455510401.

It is a super-2 number, since 2×104015554152322 (a number of 27 digits) contains 22 as substring.

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, 935638538 + ... + 935649654.

It is an arithmetic number, because the mean of its divisors is an integer number (195574180860).

Almost surely, 210401555415232 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 10401555415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10952154128160).

10401555415232 is an abundant number, since it is smaller than the sum of its proper divisors (11502752841088).

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

10401555415232 is a wasteful number, since it uses less digits than its factorization.

10401555415232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13018 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 38.

The spelling of 10401555415232 in words is "ten trillion, four hundred one billion, five hundred fifty-five million, four hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 809 1063 1088 1618 2126 3236 4252 6472 8504 11117 12944 13753 17008 18071 22234 25888 27506 34016 36142 44468 51776 55012 68032 72284 88936 110024 144568 177872 188989 220048 289136 355744 377978 440096 578272 711488 755956 859967 880192 1156544 1511912 1719934 3023824 3439868 6047648 6879736 8993653 11817371 12095296 13759472 14619439 17987306 23634742 27518944 29238878 35974612 47269484 55037888 58477756 71949224 94538968 116955512 143898448 152892101 189077936 200895307 233911024 287796896 305784202 378155872 401790614 467822048 575593792 611568404 756311744 803581228 935644096 1223136808 1607162456 2446273616 3214324912 4892547232 6428649824 9560253139 9785094464 12857299648 19120506278 38241012556 76482025112 152964050224 162524303363 305928100448 325048606726 611856200896 650097213452 1300194426904 2600388853808 5200777707616 10401555415232