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137610233824 = 2571793432019
BaseRepresentation
bin1000000000101000110…
…1011000011111100000
3111011012021221011211211
42000022031120133200
54223311204440244
6143114532515504
712641052454660
oct2001215303740
9434167834754
10137610233824
11533a6431478
122280547bb94
13cc9074a47b
1469360b41a0
1538a601c934
hex200a3587e0

137610233824 has 48 divisors (see below), whose sum is σ = 311352854400. Its totient is φ = 58646323584.

The previous prime is 137610233809. The next prime is 137610233837. The reversal of 137610233824 is 428332016731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1675914 + ... + 1756105.

It is an arithmetic number, because the mean of its divisors is an integer number (6486517800).

Almost surely, 2137610233824 is an apocalyptic number.

137610233824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137610233824 is an abundant number, since it is smaller than the sum of its proper divisors (173742620576).

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

137610233824 is a wasteful number, since it uses less digits than its factorization.

137610233824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432215 (or 3432207 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 137610233824 in words is "one hundred thirty-seven billion, six hundred ten million, two hundred thirty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 179 224 358 716 1253 1432 2506 2864 5012 5728 10024 20048 40096 3432019 6864038 13728076 24024133 27456152 48048266 54912304 96096532 109824608 192193064 384386128 614331401 768772256 1228662802 2457325604 4300319807 4914651208 8600639614 9829302416 17201279228 19658604832 34402558456 68805116912 137610233824