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40152503664 = 24327133064141
BaseRepresentation
bin100101011001010001…
…101001010101110000
310211122022000112012100
4211121101221111300
51124213020104124
630240143300400
72621005435620
oct453121512560
9124568015170
1040152503664
1116035050329
127946baa700
133a2b849c10
141d2c948880
1510a00ad1c9
hex959469570

40152503664 has 120 divisors (see below), whose sum is σ = 138303113312. Its totient is φ = 10589667840.

The previous prime is 40152503663. The next prime is 40152503693. The reversal of 40152503664 is 46630525104.

40152503664 is a `hidden beast` number, since 40 + 1 + 5 + 250 + 366 + 4 = 666.

It is a super-2 number, since 2×401525036642 (a number of 22 digits) 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 (40152503663) 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, 1518967 + ... + 1545174.

Almost surely, 240152503664 is an apocalyptic number.

It is an amenable number.

40152503664 is an abundant number, since it is smaller than the sum of its proper divisors (98150609648).

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

40152503664 is a wasteful number, since it uses less digits than its factorization.

40152503664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064175 (or 3064166 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 40152503664 in words is "forty billion, one hundred fifty-two million, five hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 3064141 6128282 9192423 12256564 18384846 21448987 24513128 27577269 36769692 39833833 42897974 49026256 55154538 64346961 73539384 79667666 85795948 110309076 119501499 128693922 147078768 159335332 171591896 193040883 220618152 239002998 257387844 278836831 318670664 343183792 358504497 386081766 441236304 478005996 514775688 557673662 637341328 717008994 772163532 836510493 956011992 1029551376 1115347324 1434017988 1544327064 1673020986 1912023984 2230694648 2509531479 2868035976 3088654128 3346041972 4461389296 5019062958 5736071952 6692083944 10038125916 13384167888 20076251832 40152503664