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1875968768 = 28172231933
BaseRepresentation
bin110111111010001…
…0000001100000000
311211201222002100202
41233310100030000
512320222000033
6510052304332
764326320462
oct15764201400
94751862322
101875968768
11882a32113
124443120a8
1323b86b5bb
1413b210132
15aea628e8
hex6fd10300

1875968768 has 72 divisors (see below), whose sum is σ = 3984720768. Its totient is φ = 878395392.

The previous prime is 1875968753. The next prime is 1875968777. The reversal of 1875968768 is 8678695781.

It is a happy number.

It is a super-2 number, since 2×18759687682 = 7038517637022875648, which contains 22 as substring.

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, 969530 + ... + 971462.

It is an arithmetic number, because the mean of its divisors is an integer number (55343344).

Almost surely, 21875968768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1875968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992360384).

1875968768 is an abundant number, since it is smaller than the sum of its proper divisors (2108752000).

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

1875968768 is a wasteful number, since it uses less digits than its factorization.

1875968768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2175 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 65.

The square root of 1875968768 is about 43312.4551139739. The cubic root of 1875968768 is about 1233.3183728077.

The spelling of 1875968768 in words is "one billion, eight hundred seventy-five million, nine hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 223 256 272 446 544 892 1088 1784 1933 2176 3568 3791 3866 4352 7136 7582 7732 14272 15164 15464 28544 30328 30928 32861 57088 60656 61856 65722 121312 123712 131444 242624 247424 262888 431059 485248 494848 525776 862118 970496 1051552 1724236 2103104 3448472 4206208 6896944 7328003 8412416 13793888 14656006 27587776 29312012 55175552 58624024 110351104 117248048 234496096 468992192 937984384 1875968768