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134169808896 = 2123223158243
BaseRepresentation
bin111110011110100100…
…1001101000000000000
3110211022112011111002100
41330331021031000000
54144234432341041
6141345312350400
712456565362414
oct1747511150000
9424275144070
10134169808896
11519a03a5292
1222005245400
13c862a3c586
1466cb1c2d44
153753e7c6b6
hex1f3d24d000

134169808896 has 156 divisors (see below), whose sum is σ = 404407100448. Its totient is φ = 42778509312.

The previous prime is 134169808867. The next prime is 134169808907. The reversal of 134169808896 is 698808961431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768751 + ... + 926993.

It is an arithmetic number, because the mean of its divisors is an integer number (2592353208).

Almost surely, 2134169808896 is an apocalyptic number.

134169808896 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 134169808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202203550224).

134169808896 is an abundant number, since it is smaller than the sum of its proper divisors (270237291552).

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

134169808896 is a wasteful number, since it uses less digits than its factorization.

134169808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158296 (or 158271 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 134169808896 in words is "one hundred thirty-four billion, one hundred sixty-nine million, eight hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2048 2208 2304 2944 3072 3312 4096 4416 4608 5888 6144 6624 8832 9216 11776 12288 13248 17664 18432 23552 26496 35328 36864 47104 52992 70656 94208 105984 141312 158243 211968 282624 316486 423936 474729 632972 847872 949458 1265944 1424187 1898916 2531888 2848374 3639589 3797832 5063776 5696748 7279178 7595664 10127552 10918767 11393496 14558356 15191328 20255104 21837534 22786992 29116712 30382656 32756301 40510208 43675068 45573984 58233424 60765312 65512602 81020416 87350136 91147968 116466848 121530624 131025204 162040832 174700272 182295936 232933696 243061248 262050408 324081664 349400544 364591872 465867392 486122496 524100816 648163328 698801088 729183744 931734784 972244992 1048201632 1397602176 1458367488 1863469568 1944489984 2096403264 2795204352 2916734976 3726939136 4192806528 5590408704 5833469952 7453878272 8385613056 11180817408 14907756544 16771226112 22361634816 33542452224 44723269632 67084904448 134169808896