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2156764896 = 2532111352369
BaseRepresentation
bin1000000010001101…
…1001111011100000
312120022100000020100
42000203121323200
513404112434041
6554002542400
7104306125206
oct20043317340
95508300210
102156764896
11a0748a430
12502367a00
13284aa4460
14166625076
15c952b6b6
hex808d9ee0

2156764896 has 144 divisors (see below), whose sum is σ = 7205693040. Its totient is φ = 603279360.

The previous prime is 2156764871. The next prime is 2156764913. The reversal of 2156764896 is 6984676512.

2156764896 is a `hidden beast` number, since 2 + 156 + 7 + 6 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15000 + ... + 67368.

It is an arithmetic number, because the mean of its divisors is an integer number (50039535).

Almost surely, 22156764896 is an apocalyptic number.

2156764896 is a gapful number since it is divisible by the number (26) 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 2156764896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602846520).

2156764896 is an abundant number, since it is smaller than the sum of its proper divisors (5048928144).

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

2156764896 is a wasteful number, since it uses less digits than its factorization.

2156764896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52409 (or 52398 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 2156764896 is about 46440.9829353342. The cubic root of 2156764896 is about 1292.0151378316.

The spelling of 2156764896 in words is "two billion, one hundred fifty-six million, seven hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 52369 104738 157107 209476 314214 418952 471321 576059 628428 680797 837904 942642 1152118 1256856 1361594 1675808 1728177 1885284 2042391 2304236 2513712 2723188 3456354 3770568 4084782 4608472 5027424 5184531 5446376 6127173 6912708 7488767 7541136 8169564 9216944 10369062 10892752 12254346 13825416 14977534 15082272 16339128 18433888 20738124 21785504 22466301 24508692 27650832 29955068 32678256 41476248 44932602 49017384 55301664 59910136 65356512 67398903 82952496 89865204 98034768 119820272 134797806 165904992 179730408 196069536 239640544 269595612 359460816 539191224 718921632 1078382448 2156764896