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2349542404352 = 28111379078117
BaseRepresentation
bin100010001100001011101…
…000111111000100000000
322022121120122112210010002
4202030023220333010000
5301443330323414402
64555210451455132
7331514564630153
oct42141350770400
98277518483102
102349542404352
11826487486810
1231b434bb74a8
1314073a3a6930
1481a0b647c9a
15411b4c92602
hex2230ba3f100

2349542404352 has 144 divisors (see below), whose sum is σ = 5511196418112. Its totient is φ = 985575874560.

The previous prime is 2349542404303. The next prime is 2349542404361. The reversal of 2349542404352 is 2534042459432.

It is a junction number, because it is equal to n+sod(n) for n = 2349542404297 and 2349542404306.

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, 289455398 + ... + 289463514.

It is an arithmetic number, because the mean of its divisors is an integer number (38272197348).

Almost surely, 22349542404352 is an apocalyptic number.

2349542404352 is a gapful number since it is divisible by the number (22) 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 2349542404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755598209056).

2349542404352 is an abundant number, since it is smaller than the sum of its proper divisors (3161654013760).

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

2349542404352 is a wasteful number, since it uses less digits than its factorization.

2349542404352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16064 (or 16050 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 47.

The spelling of 2349542404352 in words is "two trillion, three hundred forty-nine billion, five hundred forty-two million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 832 1144 1408 1664 2288 2816 3328 4576 7907 8117 9152 15814 16234 18304 31628 32468 36608 63256 64936 86977 89287 102791 105521 126512 129872 173954 178574 205582 211042 253024 259744 347908 357148 411164 422084 506048 519488 695816 714296 822328 844168 1012096 1038976 1130701 1160731 1391632 1428592 1644656 1688336 2024192 2077952 2261402 2321462 2783264 2857184 3289312 3376672 4522804 4642924 5566528 5714368 6578624 6753344 9045608 9285848 11133056 11428736 13157248 13506688 18091216 18571696 22266112 22857472 26314496 27013376 36182432 37143392 64181119 72364864 74286784 128362238 144729728 148573568 256724476 289459456 297147136 513448952 705992309 834354547 1026897904 1411984618 1668709094 2053795808 2823969236 3337418188 4107591616 5647938472 6674836376 8215183232 9177900017 11295876944 13349672752 16430366464 18355800034 22591753888 26699345504 36711600068 45183507776 53398691008 73423200136 90367015552 106797382016 146846400272 180734031104 213594764032 293692800544 587385601088 1174771202176 2349542404352