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145513320520 = 23521649168037
BaseRepresentation
bin1000011110000101000…
…1010001000001001000
3111220121001222120200111
42013201101101001020
54341002402224040
6150503051244104
713340645550031
oct2074121210110
9456531876614
10145513320520
1156791526487
1224250149634
131094cb8aa29
147085951a88
153bb9c72dea
hex21e1451048

145513320520 has 32 divisors (see below), whose sum is σ = 327422043000. Its totient is φ = 58202293248.

The previous prime is 145513320517. The next prime is 145513320529. The reversal of 145513320520 is 25023315541.

It can be written as a sum of positive squares in 4 ways, for example, as 126760209156 + 18753111364 = 356034^2 + 136942^2 .

It is not an unprimeable number, because it can be changed into a prime (145513320529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781942 + ... + 949978.

Almost surely, 2145513320520 is an apocalyptic number.

145513320520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145513320520 is an abundant number, since it is smaller than the sum of its proper divisors (181908722480).

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

145513320520 is a wasteful number, since it uses less digits than its factorization.

145513320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189697 (or 189693 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 145513320520 in words is "one hundred forty-five billion, five hundred thirteen million, three hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 21649 43298 86596 108245 168037 173192 216490 336074 432980 672148 840185 865960 1344296 1680370 3360740 6721480 3637833013 7275666026 14551332052 18189165065 29102664104 36378330130 72756660260 145513320520