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2156835168 = 25333180527
BaseRepresentation
bin1000000010001110…
…1011000101100000
312120022110120122000
42000203223011200
513404122211133
6554004244000
7104306540115
oct20043530540
95508416560
102156835168
11a07528204
125023a0600
13284aca437
1416664290c
15c9542413
hex808eb160

2156835168 has 96 divisors (see below), whose sum is σ = 6493777920. Its totient is φ = 695744640.

The previous prime is 2156835157. The next prime is 2156835209. The reversal of 2156835168 is 8615386512.

2156835168 is a `hidden beast` number, since 2 + 1 + 56 + 83 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13480 + ... + 67047.

It is an arithmetic number, because the mean of its divisors is an integer number (67643520).

Almost surely, 22156835168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2156835168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246888960).

2156835168 is an abundant number, since it is smaller than the sum of its proper divisors (4336942752).

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

2156835168 is a wasteful number, since it uses less digits than its factorization.

2156835168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80577 (or 80563 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 2156835168 is about 46441.7395023055. The cubic root of 2156835168 is about 1292.0291698820.

The spelling of 2156835168 in words is "two billion, one hundred fifty-six million, eight hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 80527 161054 241581 322108 483162 644216 724743 966324 1288432 1449486 1932648 2174229 2496337 2576864 2898972 3865296 4348458 4992674 5797944 7489011 7730592 8696916 9985348 11595888 14978022 17393832 19970696 22467033 23191776 29956044 34787664 39941392 44934066 59912088 67401099 69575328 79882784 89868132 119824176 134802198 179736264 239648352 269604396 359472528 539208792 718945056 1078417584 2156835168