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137778614334 = 23318114096441
BaseRepresentation
bin1000000001010000111…
…1101101000000111110
3111011122000202210111000
42000110033231000332
54224132311124314
6143143345511130
712645165620154
oct2002417550076
9434560683430
10137778614334
1153482488219
12228519424a6
13ccb95b35ca
1469505c53d4
1538b5bcd209
hex20143ed03e

137778614334 has 32 divisors (see below), whose sum is σ = 307866293280. Its totient is φ = 45672465600.

The previous prime is 137778614297. The next prime is 137778614353. The reversal of 137778614334 is 433416877731.

137778614334 is a `hidden beast` number, since 13 + 7 + 7 + 7 + 8 + 614 + 3 + 3 + 4 = 666.

It is a super-2 number, since 2×1377786143342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7038447 + ... + 7057994.

It is an arithmetic number, because the mean of its divisors is an integer number (9620821665).

Almost surely, 2137778614334 is an apocalyptic number.

137778614334 is an abundant number, since it is smaller than the sum of its proper divisors (170087678946).

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

137778614334 is a wasteful number, since it uses less digits than its factorization.

137778614334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096633 (or 14096627 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 137778614334 in words is "one hundred thirty-seven billion, seven hundred seventy-eight million, six hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 181 362 543 1086 1629 3258 4887 9774 14096441 28192882 42289323 84578646 126867969 253735938 380603907 761207814 2551455821 5102911642 7654367463 15308734926 22963102389 45926204778 68889307167 137778614334