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30786863744 = 277137933457
BaseRepresentation
bin11100101011000010…
…100100001010000000
32221110120220201111202
4130223002210022000
51001022414114434
622050541200332
72136633011150
oct345302441200
987416821452
1030786863744
111206942244a
125b725600a8
132b983c8a50
1416c0b54760
15c02c58a7e
hex72b0a4280

30786863744 has 128 divisors (see below), whose sum is σ = 76444838400. Its totient is φ = 12024889344.

The previous prime is 30786863687. The next prime is 30786863771. The reversal of 30786863744 is 44736868703.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 30786863744.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903464 + ... + 936920.

It is an arithmetic number, because the mean of its divisors is an integer number (597225300).

Almost surely, 230786863744 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 30786863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38222419200).

30786863744 is an abundant number, since it is smaller than the sum of its proper divisors (45657974656).

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

30786863744 is a wasteful number, since it uses less digits than its factorization.

30786863744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33570 (or 33558 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 56.

The spelling of 30786863744 in words is "thirty billion, seven hundred eighty-six million, eight hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 79 91 104 112 128 158 182 208 224 316 364 416 448 553 632 728 832 896 1027 1106 1264 1456 1664 2054 2212 2528 2912 4108 4424 5056 5824 7189 8216 8848 10112 11648 14378 16432 17696 28756 32864 33457 35392 57512 65728 66914 70784 115024 131456 133828 230048 234199 267656 434941 460096 468398 535312 869882 920192 936796 1070624 1739764 1873592 2141248 2643103 3044587 3479528 3747184 4282496 5286206 6089174 6959056 7494368 10572412 12178348 13918112 14988736 18501721 21144824 24356696 27836224 29977472 34360339 37003442 42289648 48713392 55672448 68720678 74006884 84579296 97426784 137441356 148013768 169158592 194853568 240522373 274882712 296027536 338317184 389707136 481044746 549765424 592055072 962089492 1099530848 1184110144 1924178984 2199061696 2368220288 3848357968 4398123392 7696715936 15393431872 30786863744