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2496041136 = 243329316427
BaseRepresentation
bin1001010011000110…
…1001000010110000
320102221202000202000
42110301221002300
520102441304021
61051402454000
7115565666601
oct22461510260
96387660660
102496041136
111070a4a716
12597b04300
1330a174524
141996ddda8
15e91e7b26
hex94c690b0

2496041136 has 160 divisors (see below), whose sum is σ = 7651891200. Its totient is φ = 777288960.

The previous prime is 2496041131. The next prime is 2496041161. The reversal of 2496041136 is 6311406942.

2496041136 is a `hidden beast` number, since 2 + 4 + 9 + 604 + 11 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2496041136.

It is not an unprimeable number, because it can be changed into a prime (2496041131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385155 + ... + 391581.

It is an arithmetic number, because the mean of its divisors is an integer number (47824320).

Almost surely, 22496041136 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 2496041136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825945600).

2496041136 is an abundant number, since it is smaller than the sum of its proper divisors (5155850064).

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

2496041136 is a wasteful number, since it uses less digits than its factorization.

2496041136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2496041136 is about 49960.3956749744. The cubic root of 2496041136 is about 1356.4920291345.

The spelling of 2496041136 in words is "two billion, four hundred ninety-six million, forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 31 36 48 54 58 62 72 87 93 108 116 124 144 174 186 216 232 248 261 279 348 372 432 464 496 522 558 696 744 783 837 899 1044 1116 1392 1488 1566 1674 1798 2088 2232 2697 3132 3348 3596 4176 4464 5394 6264 6427 6696 7192 8091 10788 12528 12854 13392 14384 16182 19281 21576 24273 25708 32364 38562 43152 48546 51416 57843 64728 77124 97092 102832 115686 129456 154248 173529 186383 194184 199237 231372 308496 347058 372766 388368 398474 462744 559149 597711 694116 745532 796948 925488 1118298 1195422 1388232 1491064 1593896 1677447 1793133 2236596 2390844 2776464 2982128 3187792 3354894 3586266 4473192 4781688 5032341 5379399 5777873 6709788 7172532 8946384 9563376 10064682 10758798 11555746 13419576 14345064 17333619 20129364 21517596 23111492 26839152 28690128 34667238 40258728 43035192 46222984 52000857 69334476 80517456 86070384 92445968 104001714 138668952 156002571 208003428 277337904 312005142 416006856 624010284 832013712 1248020568 2496041136