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53172000784 = 2471761676833
BaseRepresentation
bin110001100001010011…
…000101100000010000
312002020122111111200101
4301201103011200100
51332344013011114
640232112302144
73561436356310
oct614123054020
9162218444611
1053172000784
1120606232201
12a37b241954
135024c87176
142805b0b440
1515b30b1d74
hexc614c5810

53172000784 has 160 divisors (see below), whose sum is σ = 128617410816. Its totient is φ = 20778024960.

The previous prime is 53172000769. The next prime is 53172000787. The reversal of 53172000784 is 48700027135.

53172000784 = T1 + T2 + ... + T6832.

53172000784 is a nontrivial binomial coefficient, being equal to C(6834, 3).

It is a super-2 number, since 2×531720007842 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53172000787) by changing a digit.

It is the 6832-nd tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7778232 + ... + 7785064.

Almost surely, 253172000784 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 53172000784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64308705408).

53172000784 is an abundant number, since it is smaller than the sum of its proper divisors (75445410032).

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

53172000784 is a wasteful number, since it uses less digits than its factorization.

53172000784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 53172000784 in words is "fifty-three billion, one hundred seventy-two million, seven hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 17 28 34 56 61 67 68 112 119 122 134 136 238 244 268 272 427 469 476 488 536 854 938 952 976 1037 1072 1139 1708 1876 1904 2074 2278 3416 3752 4087 4148 4556 6832 6833 7259 7504 7973 8174 8296 9112 13666 14518 15946 16348 16592 18224 27332 28609 29036 31892 32696 47831 54664 57218 58072 63784 65392 69479 95662 109328 114436 116144 116161 127568 138958 191324 228872 232322 277916 382648 416813 457744 457811 464644 486353 555832 765296 813127 833626 915622 929288 972706 1111664 1626254 1667252 1831244 1858576 1945412 2917691 3204677 3252508 3334504 3662488 3890824 5835382 6409354 6505016 6669008 7085821 7324976 7781648 7782787 11670764 12818708 13010032 14171642 15565574 23341528 25637416 27926471 28343284 31131148 46683056 49600747 51274832 54479509 55852942 56686568 62262296 99201494 108959018 111705884 113373136 124524592 195485297 198402988 217918036 223411768 390970594 396805976 435836072 446823536 474750007 781941188 793611952 871672144 949500014 1563882376 1899000028 3127764752 3323250049 3798000056 6646500098 7596000112 13293000196 26586000392 53172000784