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2172577152928 = 257132376915227
BaseRepresentation
bin11111100111010111101…
…100000111111110100000
321200200210122012120021211
4133213113230013332200
5241043414222343203
64342022420155504
7312651326046430
oct37472754077640
97620718176254
102172577152928
11768426189106
122b1087838b94
13129b473c2100
14772208dc2c0
153b7a8be3c6d
hex1f9d7b07fa0

2172577152928 has 144 divisors (see below), whose sum is σ = 5294998537920. Its totient is φ = 859196602368.

The previous prime is 2172577152923. The next prime is 2172577152971. The reversal of 2172577152928 is 8292517752712.

It is not an unprimeable number, because it can be changed into a prime (2172577152923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142671651 + ... + 142686877.

It is an arithmetic number, because the mean of its divisors is an integer number (36770823180).

Almost surely, 22172577152928 is an apocalyptic number.

2172577152928 is a gapful number since it is divisible by the number (28) 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 2172577152928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647499268960).

2172577152928 is an abundant number, since it is smaller than the sum of its proper divisors (3122421384992).

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

2172577152928 is a wasteful number, since it uses less digits than its factorization.

2172577152928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19039 (or 19018 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 58.

The spelling of 2172577152928 in words is "two trillion, one hundred seventy-two billion, five hundred seventy-seven million, one hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 676 728 1183 1352 1456 2366 2704 2912 3769 4732 5408 7538 9464 15076 15227 18928 26383 30152 30454 37856 48997 52766 60304 60908 97994 105532 106589 120608 121816 195988 197951 211064 213178 243632 342979 391976 395902 422128 426356 487264 636961 685958 783952 791804 844256 852712 1273922 1371916 1385657 1567904 1583608 1705424 2547844 2573363 2743832 2771314 3167216 3410848 4458727 5095688 5146726 5487664 5542628 6334432 8917454 10191376 10293452 10975328 11085256 17834908 18013541 20382752 20586904 22170512 35669816 36027082 41173808 44341024 57390563 71339632 72054164 82347616 114781126 142679264 144108328 229562252 288216656 401733941 459124504 576433312 746077319 803467882 918249008 1492154638 1606935764 1836498016 2984309276 3213871528 5222541233 5968618552 6427743056 9699005147 10445082466 11937237104 12855486112 19398010294 20890164932 23874474208 38796020588 41780329864 67893036029 77592041176 83560659728 135786072058 155184082352 167121319456 271572144116 310368164704 543144288232 1086288576464 2172577152928