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107025084978 = 23717532828209
BaseRepresentation
bin110001110101100110…
…0010011001000110010
3101020020202120122011020
41203223030103020302
53223141410204403
6121055555000310
710506116132550
oct1435314231062
9336222518136
10107025084978
1141430963459
12188aa599096
13a128089466
14527406abd0
152bb5d5b453
hex18eb313232

107025084978 has 64 divisors (see below), whose sum is σ = 263905931520. Its totient is φ = 28236828672.

The previous prime is 107025084977. The next prime is 107025084997. The reversal of 107025084978 is 879480520701.

It is a super-2 number, since 2×1070250849782 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 107025084978.

It is not an unprimeable number, because it can be changed into a prime (107025084977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1376263 + ... + 1451946.

It is an arithmetic number, because the mean of its divisors is an integer number (4123530180).

Almost surely, 2107025084978 is an apocalyptic number.

107025084978 is an abundant number, since it is smaller than the sum of its proper divisors (156880846542).

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

107025084978 is a wasteful number, since it uses less digits than its factorization.

107025084978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828291.

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 107025084978 in words is "one hundred seven billion, twenty-five million, eighty-four thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 53 102 106 119 159 238 318 357 371 714 742 901 1113 1802 2226 2703 5406 6307 12614 18921 37842 2828209 5656418 8484627 16969254 19797463 39594926 48079553 59392389 96159106 118784778 144238659 149895077 288477318 299790154 336556871 449685231 673113742 899370462 1009670613 1049265539 2019341226 2098531078 2548216309 3147796617 5096432618 6295593234 7644648927 15289297854 17837514163 35675028326 53512542489 107025084978