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34925800248157 = 71310111513301477
BaseRepresentation
bin1111111000011110010111…
…11010101101001101011101
311120122212121001212221120011
413330033023322231031131
514034211014330420112
6202140405141323221
710233206613563260
oct774171372551535
9146585531787504
1034925800248157
1110145a487a9855
123b00a2ba06511
131664647c690c0
1488a5bc44acd7
15408778358aa7
hex1fc3cbead35d

34925800248157 has 32 divisors (see below), whose sum is σ = 43448929542144. Its totient is φ = 27336221280000.

The previous prime is 34925800248109. The next prime is 34925800248179. The reversal of 34925800248157 is 75184200852943.

It is a cyclic number.

It is not a de Polignac number, because 34925800248157 - 219 = 34925799723869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34925800248457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8928103 + ... + 12229579.

It is an arithmetic number, because the mean of its divisors is an integer number (1357779048192).

Almost surely, 234925800248157 is an apocalyptic number.

It is an amenable number.

34925800248157 is a deficient number, since it is larger than the sum of its proper divisors (8523129293987).

34925800248157 is a wasteful number, since it uses less digits than its factorization.

34925800248157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302749.

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 34925800248157 in words is "thirty-four trillion, nine hundred twenty-five billion, eight hundred million, two hundred forty-eight thousand, one hundred fifty-seven".

Divisors: 1 7 13 91 101 707 1151 1313 8057 9191 14963 104741 116251 813757 1511263 3301477 10578841 23110339 42919201 300434407 333449177 2334144239 3800000027 4334839301 26600000189 30343875107 49400000351 345800002457 383800002727 2686600019089 4989400035451 34925800248157