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2135608632 = 23331272613
BaseRepresentation
bin111111101001010…
…1100110100111000
312111211112011022000
41333102230310320
513333203434012
6551525301000
7103631242143
oct17722546470
95454464260
102135608632
119a654a413
124b7264760
132805a7961
141638b905a
15c774cddc
hex7f4acd38

2135608632 has 96 divisors (see below), whose sum is σ = 5989078800. Its totient is φ = 705112128.

The previous prime is 2135608621. The next prime is 2135608637. The reversal of 2135608632 is 2368065312.

It is a happy number.

2135608632 is a `hidden beast` number, since 2 + 13 + 5 + 6 + 0 + 8 + 632 = 666.

It is a super-2 number, since 2×21356086322 = 9121648458145822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135608637) 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, 3483558 + ... + 3484170.

Almost surely, 22135608632 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 2135608632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994539400).

2135608632 is an abundant number, since it is smaller than the sum of its proper divisors (3853470168).

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

2135608632 is a wasteful number, since it uses less digits than its factorization.

2135608632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2135608632 is about 46212.6458017716. The cubic root of 2135608632 is about 1287.7766786792.

The spelling of 2135608632 in words is "two billion, one hundred thirty-five million, six hundred eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 613 762 1016 1143 1226 1524 1839 2286 2452 3048 3429 3678 4572 4904 5517 6858 7356 9144 11034 13716 14712 16129 16551 22068 27432 32258 33102 44136 48387 64516 66204 77851 96774 129032 132408 145161 155702 193548 233553 290322 311404 387096 435483 467106 580644 622808 700659 870966 934212 1161288 1401318 1741932 1868424 2101977 2802636 3483864 4203954 5605272 8407908 9887077 16815816 19774154 29661231 39548308 59322462 79096616 88983693 118644924 177967386 237289848 266951079 355934772 533902158 711869544 1067804316 2135608632