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2978414090008 = 237175415782969
BaseRepresentation
bin101011010101110111010…
…100000101011100011000
3101112201210210120102200021
4223111313110011130120
5342244243001340013
610200133050320224
7425116610022640
oct53256724053430
911481723512607
102978414090008
11a4915811a045
124012a0a29074
13187b2b7138b6
14a4228147520
155271e65da8d
hex2b577505718

2978414090008 has 64 divisors (see below), whose sum is σ = 6770238638400. Its totient is φ = 1199156244480.

The previous prime is 2978414089993. The next prime is 2978414090017. The reversal of 2978414090008 is 8000904148792.

It is a happy number.

2978414090008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2376453 + ... + 3406516.

It is an arithmetic number, because the mean of its divisors is an integer number (105784978725).

Almost surely, 22978414090008 is an apocalyptic number.

2978414090008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2978414090008 is an abundant number, since it is smaller than the sum of its proper divisors (3791824548392).

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

2978414090008 is a wasteful number, since it uses less digits than its factorization.

2978414090008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783540 (or 5783536 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 2978414090008 in words is "two trillion, nine hundred seventy-eight billion, four hundred fourteen million, ninety thousand, eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 541 952 1082 2164 3787 4328 7574 9197 15148 18394 30296 36788 64379 73576 128758 257516 515032 5782969 11565938 23131876 40480783 46263752 80961566 98310473 161923132 196620946 323846264 393241892 688173311 786483784 1376346622 2752693244 3128586229 5505386488 6257172458 12514344916 21900103603 25028689832 43800207206 53185965893 87600414412 106371931786 175200828824 212743863572 372301761251 425487727144 744603522502 1489207045004 2978414090008