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8007407474148 = 2232317175096303
BaseRepresentation
bin111010010000101111010…
…1011011001010111100100
31001100111111222212002002200
41310201132223121113210
52022143132303133043
625010315135534500
71454342010336615
oct164413653312744
931314458762080
108007407474148
112607a168481a5
12a93a8068a430
13461131457664
141d97bc387c0c
15dd45741c7d3
hex7485ead95e4

8007407474148 has 36 divisors (see below), whose sum is σ = 20893880437248. Its totient is φ = 2583034668720.

The previous prime is 8007407474069. The next prime is 8007407474153. The reversal of 8007407474148 is 8414747047008.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 8007407474094 and 8007407474103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3587547036 + ... + 3587549267.

Almost surely, 28007407474148 is an apocalyptic number.

It is an amenable number.

8007407474148 is an abundant number, since it is smaller than the sum of its proper divisors (12886472963100).

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

8007407474148 is a wasteful number, since it uses less digits than its factorization.

8007407474148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175096344 (or 7175096339 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 8007407474148 in words is "eight trillion, seven billion, four hundred seven million, four hundred seventy-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 7175096303 14350192606 21525288909 28700385212 43050577818 64575866727 86101155636 129151733454 222427985393 258303466908 444855970786 667283956179 889711941572 1334567912358 2001851868537 2669135824716 4003703737074 8007407474148