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151146029008 = 2413816189041
BaseRepresentation
bin1000110011000100000…
…0010101111111010000
3112110010121220211010101
42030301000111333100
54434021340412013
6153234023542144
713630353022462
oct2146100257720
9473117824111
10151146029008
1159111aa1767
12253625ba954
1311339b27c30
14745ba72132
153de95088dd
hex2331015fd0

151146029008 has 40 divisors (see below), whose sum is σ = 315414188936. Its totient is φ = 69750374400.

The previous prime is 151146028997. The next prime is 151146029039. The reversal of 151146029008 is 800920641151.

It can be written as a sum of positive squares in 4 ways, for example, as 5533574544 + 145612454464 = 74388^2 + 381592^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1652968 + ... + 1742008.

Almost surely, 2151146029008 is an apocalyptic number.

It is an amenable number.

151146029008 is an abundant number, since it is smaller than the sum of its proper divisors (164268159928).

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

151146029008 is a wasteful number, since it uses less digits than its factorization.

151146029008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97223 (or 97217 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 151146029008 in words is "one hundred fifty-one billion, one hundred forty-six million, twenty-nine thousand, eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 8161 16322 32644 65288 89041 106093 130576 178082 212186 356164 424372 712328 848744 1157533 1424656 1697488 2315066 4630132 9260264 18520528 726663601 1453327202 2906654404 5813308808 9446626813 11626617616 18893253626 37786507252 75573014504 151146029008