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145470737952 = 2532598561131
BaseRepresentation
bin1000011101111010111…
…0110100111000100000
3111220111002212011101100
42013132232310320200
54340411002103302
6150454530434400
713336620604431
oct2073656647040
9456432764340
10145470737952
115676a491581
1224239a32a00
13109440cb847
147080029488
153bb6160d1c
hex21debb4e20

145470737952 has 72 divisors (see below), whose sum is σ = 420694026480. Its totient is φ = 47668371840.

The previous prime is 145470737941. The next prime is 145470737957. The reversal of 145470737952 is 259737074541.

145470737952 is a `hidden beast` number, since 1 + 4 + 547 + 0 + 7 + 3 + 7 + 95 + 2 = 666.

145470737952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (145470737957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4263574 + ... + 4297557.

It is an arithmetic number, because the mean of its divisors is an integer number (5842972590).

Almost surely, 2145470737952 is an apocalyptic number.

145470737952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145470737952 is an abundant number, since it is smaller than the sum of its proper divisors (275223288528).

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

145470737952 is a wasteful number, since it uses less digits than its factorization.

145470737952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561206 (or 8561195 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 145470737952 in words is "one hundred forty-five billion, four hundred seventy million, seven hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 16992 8561131 17122262 25683393 34244524 51366786 68489048 77050179 102733572 136978096 154100358 205467144 273956192 308200716 410934288 505106729 616401432 821868576 1010213458 1232802864 1515320187 2020426916 2465605728 3030640374 4040853832 4545960561 6061280748 8081707664 9091921122 12122561496 16163415328 18183842244 24245122992 36367684488 48490245984 72735368976 145470737952