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19133540832 = 253735817951
BaseRepresentation
bin10001110100011100…
…101010100111100000
31211101110010120201110
4101310130222213200
5303141141301312
612442334103320
71245101261610
oct216434524740
954343116643
1019133540832
11812942646a
12385b94ab40
131a5c025ac3
14cd71baa40
1576eb6743c
hex47472a9e0

19133540832 has 96 divisors (see below), whose sum is σ = 57423873024. Its totient is φ = 5464512000.

The previous prime is 19133540831. The next prime is 19133540843. The reversal of 19133540832 is 23804533191.

It is a happy number.

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

It is a super-2 number, since 2×191335408322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19133540831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2402457 + ... + 2410407.

It is an arithmetic number, because the mean of its divisors is an integer number (598165344).

Almost surely, 219133540832 is an apocalyptic number.

19133540832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19133540832 is an abundant number, since it is smaller than the sum of its proper divisors (38290332192).

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

19133540832 is a wasteful number, since it uses less digits than its factorization.

19133540832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11552 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 19133540832 in words is "nineteen billion, one hundred thirty-three million, five hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3581 7162 7951 10743 14324 15902 21486 23853 25067 28648 31804 42972 47706 50134 55657 57296 63608 75201 85944 95412 100268 111314 114592 127216 150402 166971 171888 190824 200536 222628 254432 300804 333942 343776 381648 401072 445256 601608 667884 763296 802144 890512 1203216 1335768 1781024 2406432 2671536 5343072 28472531 56945062 85417593 113890124 170835186 199307717 227780248 341670372 398615434 455560496 597923151 683340744 797230868 911120992 1195846302 1366681488 1594461736 2391692604 2733362976 3188923472 4783385208 6377846944 9566770416 19133540832