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42611810104448 = 27132443832
BaseRepresentation
bin10011011000001010101011…
…10011011111010010000000
312120212122112022102101101122
421230011111303133102000
521041122441341320243
6230343332331051412
711655413243452154
oct1154052563372200
9176778468371348
1042611810104448
1112639626a09752
124942554ba0b68
131aa1379493b00
14a745cb919064
154dd66e7c7668
hex26c155cdf480

42611810104448 has 72 divisors (see below), whose sum is σ = 91925153581545. Its totient is φ = 19666546159104.

The previous prime is 42611810104361. The next prime is 42611810104477. The reversal of 42611810104448 is 84440101811624.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 36434358343744 + 6177451760704 = 6036088^2 + 2485448^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4615832.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42611810104399 and 42611810104408.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 960070865 + ... + 960115247.

Almost surely, 242611810104448 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 42611810104448

42611810104448 is an abundant number, since it is smaller than the sum of its proper divisors (49313343477097).

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

42611810104448 is an frugal number, since it uses more digits than its factorization.

42611810104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88806 (or 44398 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The spelling of 42611810104448 in words is "forty-two trillion, six hundred eleven billion, eight hundred ten million, one hundred four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 10816 21632 44383 88766 177532 355064 576979 710128 1153958 1420256 2307916 2840512 4615832 5681024 7500727 9231664 15001454 18463328 30002908 36926656 60005816 73853312 120011632 240023264 480046528 960093056 1969850689 3939701378 7879402756 15758805512 25608058957 31517611024 51216117914 63035222048 102432235828 126070444096 204864471656 252140888192 332904766441 409728943312 665809532882 819457886624 1331619065764 1638915773248 2663238131528 3277831546496 5326476263056 10652952526112 21305905052224 42611810104448