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4075136316 = 2232434779709
BaseRepresentation
bin1111001011100101…
…1010010100111100
3101112000002101002200
43302321122110330
531321213330231
61512212151500
7202662041616
oct36271322474
911460071080
104075136316
111801343259
12958908590
134cc36b084
142a9311db6
1518cb67be6
hexf2e5a53c

4075136316 has 144 divisors (see below), whose sum is σ = 10916505600. Its totient is φ = 1280313216.

The previous prime is 4075136311. The next prime is 4075136327. The reversal of 4075136316 is 6136315704.

4075136316 is a `hidden beast` number, since 4 + 0 + 7 + 5 + 13 + 631 + 6 = 666.

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 (4075136311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5747370 + ... + 5748078.

Almost surely, 24075136316 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 4075136316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458252800).

4075136316 is an abundant number, since it is smaller than the sum of its proper divisors (6841369284).

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

4075136316 is a wasteful number, since it uses less digits than its factorization.

4075136316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4075136316 is about 63836.7943744045. The cubic root of 4075136316 is about 1597.2787488482.

The spelling of 4075136316 in words is "four billion, seventy-five million, one hundred thirty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 43 47 79 86 94 129 141 158 172 188 237 258 282 316 387 423 474 516 564 709 711 774 846 948 1418 1422 1548 1692 2021 2127 2836 2844 3397 3713 4042 4254 6063 6381 6794 7426 8084 8508 10191 11139 12126 12762 13588 14852 18189 20382 22278 24252 25524 30487 30573 33323 33417 36378 40764 44556 56011 60974 61146 66646 66834 72756 91461 99969 112022 121948 122292 133292 133668 159659 168033 182922 199938 224044 274383 299907 319318 336066 365844 399876 478977 504099 548766 599814 638636 672132 957954 1008198 1097532 1199628 1432889 1436931 1915908 2016396 2408473 2632517 2865778 2873862 4298667 4816946 5265034 5731556 5747724 7225419 7897551 8597334 9633892 10530068 12896001 14450838 15795102 17194668 21676257 23692653 25792002 28901676 31590204 43352514 47385306 51584004 86705028 94770612 113198231 226396462 339594693 452792924 679189386 1018784079 1358378772 2037568158 4075136316