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34688138065788 = 22347915667385193
BaseRepresentation
bin1111110001100011101100…
…01001011011011101111100
311112211011010222120011110110
413320301312021123131330
514021312301321101123
6201435302144110020
710210064253425304
oct770616611333574
9145734128504413
1034688138065788
111006417a6905a9
123a82963305310
131648101020c1c
1487ccb4472604
154024b878e493
hex1f8c7625b77c

34688138065788 has 48 divisors (see below), whose sum is σ = 81113351316480. Its totient is φ = 11537806971264.

The previous prime is 34688138065787. The next prime is 34688138065807. The reversal of 34688138065788 is 88756083188643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34688138065783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89861320 + ... + 90246512.

It is an arithmetic number, because the mean of its divisors is an integer number (1689861485760).

Almost surely, 234688138065788 is an apocalyptic number.

It is an amenable number.

34688138065788 is an abundant number, since it is smaller than the sum of its proper divisors (46425213250692).

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

34688138065788 is a wasteful number, since it uses less digits than its factorization.

34688138065788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401346 (or 401344 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 75.

The spelling of 34688138065788 in words is "thirty-four trillion, six hundred eighty-eight billion, one hundred thirty-eight million, sixty-five thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 479 958 1437 1916 2874 5748 15667 31334 47001 62668 94002 188004 385193 770386 1155579 1540772 2311158 4622316 7504493 15008986 22513479 30017972 45026958 90053916 184507447 369014894 553522341 738029788 1107044682 2214089364 6034818731 12069637462 18104456193 24139274924 36208912386 72417824772 2890678172149 5781356344298 8672034516447 11562712688596 17344069032894 34688138065788