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134689894656 = 2831977311941
BaseRepresentation
bin111110101110000100…
…1001011000100000000
3110212122202210120121220
41331130021023010000
54201321103112111
6141513051515040
712505512133422
oct1753411130400
9425582716556
10134689894656
1152137a30429
122212b458a80
13c916707b25
14673a2c6812
153784961e06
hex1f5c24b100

134689894656 has 144 divisors (see below), whose sum is σ = 377858255040. Its totient is φ = 42475069440.

The previous prime is 134689894649. The next prime is 134689894673. The reversal of 134689894656 is 656498986431.

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, 11273646 + ... + 11285586.

It is an arithmetic number, because the mean of its divisors is an integer number (2624015660).

Almost surely, 2134689894656 is an apocalyptic number.

134689894656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134689894656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188929127520).

134689894656 is an abundant number, since it is smaller than the sum of its proper divisors (243168360384).

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

134689894656 is a wasteful number, since it uses less digits than its factorization.

134689894656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12752 (or 12738 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 69.

The spelling of 134689894656 in words is "one hundred thirty-four billion, six hundred eighty-nine million, eight hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 773 912 1216 1546 1824 2319 2432 3092 3648 4638 4864 6184 7296 9276 11941 12368 14592 14687 18552 23882 24736 29374 35823 37104 44061 47764 49472 58748 71646 74208 88122 95528 98944 117496 143292 148416 176244 191056 197888 226879 234992 286584 296832 352488 382112 453758 469984 573168 593664 680637 704976 764224 907516 939968 1146336 1361274 1409952 1528448 1815032 1879936 2292672 2722548 2819904 3056896 3630064 3759872 4585344 5445096 5639808 7260128 9170688 9230393 10890192 11279616 14520256 18460786 21780384 27691179 29040512 36921572 43560768 55382358 58081024 73843144 87121536 110764716 147686288 174243072 175377467 221529432 295372576 350754934 443058864 526132401 590745152 701509868 886117728 1052264802 1181490304 1403019736 1772235456 2104529604 2362980608 2806039472 3544470912 4209059208 5612078944 7088941824 8418118416 11224157888 16836236832 22448315776 33672473664 44896631552 67344947328 134689894656