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1900147464 = 233323393761
BaseRepresentation
bin111000101000001…
…1111001100001000
311220102110111022000
41301100133030020
512342414204324
6512314431000
765041662345
oct16120371410
94812414260
101900147464
11895646a06
12450432460
13243885a17
141405057cc
15b1c3b9c9
hex7141f308

1900147464 has 64 divisors (see below), whose sum is σ = 5281848000. Its totient is φ = 632943360.

The previous prime is 1900147463. The next prime is 1900147493. The reversal of 1900147464 is 4647410091.

1900147464 is a `hidden beast` number, since 190 + 0 + 1 + 4 + 7 + 464 = 666.

It is a super-2 number, since 2×19001474642 = 7221120769891262592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1900147463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503344 + ... + 507104.

It is an arithmetic number, because the mean of its divisors is an integer number (82528875).

Almost surely, 21900147464 is an apocalyptic number.

It is an amenable number.

1900147464 is an abundant number, since it is smaller than the sum of its proper divisors (3381700536).

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

1900147464 is a wasteful number, since it uses less digits than its factorization.

1900147464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6105 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1900147464 is about 43590.6809306760. The cubic root of 1900147464 is about 1238.5943714952.

The spelling of 1900147464 in words is "one billion, nine hundred million, one hundred forty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2339 3761 4678 7017 7522 9356 11283 14034 15044 18712 21051 22566 28068 30088 33849 42102 45132 56136 63153 67698 84204 90264 101547 126306 135396 168408 203094 252612 270792 406188 505224 812376 8796979 17593958 26390937 35187916 52781874 70375832 79172811 105563748 158345622 211127496 237518433 316691244 475036866 633382488 950073732 1900147464