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378425875113 = 3211134171101009
BaseRepresentation
bin1011000000110111111…
…00001001101010101001
31100011210011001021100100
411200123330021222221
522200004011000423
6445502455500013
736224513602506
oct5403374115251
91304704037310
10378425875113
111365425a5020
1261412087609
13298baaba280
141445cc004ad
159c9c890343
hex581bf09aa9

378425875113 has 96 divisors (see below), whose sum is σ = 667112060160. Its totient is φ = 203632128000.

The previous prime is 378425875109. The next prime is 378425875117. The reversal of 378425875113 is 311578524873.

378425875113 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 2 + 587 + 51 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (378425875109) and next prime (378425875117).

It is not a de Polignac number, because 378425875113 - 22 = 378425875109 is a prime.

It is a super-2 number, since 2×3784258751132 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 378425875113.

It is not an unprimeable number, because it can be changed into a prime (378425875117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3695953 + ... + 3796961.

It is an arithmetic number, because the mean of its divisors is an integer number (6949083960).

Almost surely, 2378425875113 is an apocalyptic number.

378425875113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

378425875113 is a deficient number, since it is larger than the sum of its proper divisors (288686185047).

378425875113 is a wasteful number, since it uses less digits than its factorization.

378425875113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101151 (or 101148 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 378425875113 in words is "three hundred seventy-eight billion, four hundred twenty-five million, eight hundred seventy-five thousand, one hundred thirteen".

Divisors: 1 3 9 11 13 33 39 41 71 99 117 123 143 213 369 429 451 533 639 781 923 1287 1353 1599 2343 2769 2911 4059 4797 5863 7029 8307 8733 10153 17589 26199 30459 32021 37843 52767 91377 96063 101009 113529 288189 303027 340587 416273 909081 1111099 1248819 1313117 3333297 3746457 3939351 4141369 7171639 9999891 11818053 12424107 14444287 21514917 37272321 43332861 45555059 53837797 64544751 78888029 93231307 129998583 136665177 161513391 236664087 279693921 294037199 409995531 484540173 592215767 709992261 839081763 882111597 1025544377 1776647301 2646334791 3076633131 3234409189 3822483587 5329941903 9229899393 9703227567 11467450761 29109682701 34402352283 42047319457 126141958371 378425875113