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11453501664144 = 2432671936150971
BaseRepresentation
bin1010011010101011100111…
…1001011110101110010000
31111112221111020001012002200
42212222321321132232100
53000123232411223034
640205355510043200
72261326306550421
oct246527171365620
944487436035080
1011453501664144
113716448108471
12134b922649500
136510a3102017
142b84d113b648
1514cdea082a99
hexa6ab9e5eb90

11453501664144 has 120 divisors (see below), whose sum is σ = 32700879917472. Its totient is φ = 3741364408320.

The previous prime is 11453501664113. The next prime is 11453501664179. The reversal of 11453501664144 is 44146610535411.

11453501664144 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 3 + 501 + 66 + 41 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11453501664144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213422 + ... + 4937549.

Almost surely, 211453501664144 is an apocalyptic number.

It is an amenable number.

11453501664144 is an abundant number, since it is smaller than the sum of its proper divisors (21247378253328).

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

11453501664144 is a wasteful number, since it uses less digits than its factorization.

11453501664144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6151245 (or 6151236 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 11453501664144 in words is "eleven trillion, four hundred fifty-three billion, five hundred one million, six hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 193 201 268 386 402 536 579 603 772 804 1072 1158 1206 1544 1608 1737 2316 2412 3088 3216 3474 4632 4824 6948 9264 9648 12931 13896 25862 27792 38793 51724 77586 103448 116379 155172 206896 232758 310344 465516 620688 931032 1862064 6150971 12301942 18452913 24603884 36905826 49207768 55358739 73811652 98415536 110717478 147623304 221434956 295246608 412115057 442869912 824230114 885739824 1187137403 1236345171 1648460228 2374274806 2472690342 3296920456 3561412209 3709035513 4748549612 4945380684 6593840912 7122824418 7418071026 9497099224 9890761368 10684236627 14245648836 14836142052 18994198448 19781522736 21368473254 28491297672 29672284104 42736946508 56982595344 59344568208 79538206001 85473893016 159076412002 170947786032 238614618003 318152824004 477229236006 636305648008 715843854009 954458472012 1272611296016 1431687708018 1908916944024 2863375416036 3817833888048 5726750832072 11453501664144