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49429678364704 = 2511714241466357
BaseRepresentation
bin10110011110100101111100…
…11010111001100000100000
320111000102122021101100100101
423033102332122321200200
522434323440130132304
6253043403013232144
713261114336462531
oct1317227632714040
9214012567340311
1049429678364704
1114828010898230
125663977332654
132177277626221
14c2c5a2ba6688
155aaba55868a4
hex2cf4be6b9820

49429678364704 has 96 divisors (see below), whose sum is σ = 107682315898752. Its totient is φ = 22146313728000.

The previous prime is 49429678364687. The next prime is 49429678364711. The reversal of 49429678364704 is 40746387692494.

49429678364704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105757894 + ... + 106224250.

It is an arithmetic number, because the mean of its divisors is an integer number (1121690790612).

Almost surely, 249429678364704 is an apocalyptic number.

49429678364704 is a gapful number since it is divisible by the number (44) 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 49429678364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53841157949376).

49429678364704 is an abundant number, since it is smaller than the sum of its proper divisors (58252637534048).

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

49429678364704 is a wasteful number, since it uses less digits than its factorization.

49429678364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470690 (or 470682 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 73.

The spelling of 49429678364704 in words is "forty-nine trillion, four hundred twenty-nine billion, six hundred seventy-eight million, three hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 352 568 781 1136 1562 2272 3124 4241 6248 8482 12496 16964 24992 33928 46651 67856 93302 135712 186604 301111 373208 466357 602222 746416 932714 1204444 1492832 1865428 2408888 3312221 3730856 4817776 5129927 6624442 7461712 9635552 10259854 13248884 14923424 20519708 26497768 33111347 41039416 52995536 66222694 82078832 105991072 132445388 164157664 264890776 364224817 529781552 728449634 1059563104 1456899268 1977820037 2913798536 3955640074 5827597072 7911280148 11655194144 15822560296 21756020407 31645120592 43512040814 63290241184 87024081628 140425222627 174048163256 280850445254 348096326512 561700890508 696192653024 1123401781016 1544677448897 2246803562032 3089354897794 4493607124064 6178709795588 12357419591176 24714839182352 49429678364704