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1675939968 = 27321785577
BaseRepresentation
bin110001111100100…
…1101000010000000
311022210120120102200
41203321031002000
511413020034333
6434145113200
756350153233
oct14371150200
94283516380
101675939968
1179002a55a
123a9328800
132092a4171
1411c82141a
159c1eec13
hex63e4d080

1675939968 has 96 divisors (see below), whose sum is σ = 5106439260. Its totient is φ = 525778944.

The previous prime is 1675939933. The next prime is 1675940027. The reversal of 1675939968 is 8699395761.

It can be written as a sum of positive squares in 2 ways, for example, as 1670520384 + 5419584 = 40872^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23205 + ... + 62372.

Almost surely, 21675939968 is an apocalyptic number.

1675939968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1675939968 is an abundant number, since it is smaller than the sum of its proper divisors (3430499292).

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

1675939968 is a wasteful number, since it uses less digits than its factorization.

1675939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85614 (or 85599 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 1675939968 is about 40938.2457855732. The cubic root of 1675939968 is about 1187.8259786594.

The spelling of 1675939968 in words is "one billion, six hundred seventy-five million, nine hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 85577 171154 256731 342308 513462 684616 770193 1026924 1369232 1454809 1540386 2053848 2738464 2909618 3080772 4107696 4364427 5476928 5819236 6161544 8215392 8728854 10953856 11638472 12323088 13093281 16430784 17457708 23276944 24646176 26186562 32861568 34915416 46553888 49292352 52373124 69830832 93107776 98584704 104746248 139661664 186215552 209492496 279323328 418984992 558646656 837969984 1675939968