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79987000528 = 2429734315479
BaseRepresentation
bin100101001111110011…
…0001100010011010000
321122110102122122002001
41022133212030103100
52302303133004103
6100425011003344
75531103200161
oct1123746142320
9248412578061
1079987000528
1130a16638416
1213603599554
137709532c16
143c2b153768
1521322a201d
hex129f98c4d0

79987000528 has 80 divisors (see below), whose sum is σ = 162921715200. Its totient is φ = 37990149120.

The previous prime is 79987000487. The next prime is 79987000531. The reversal of 79987000528 is 82500078997.

79987000528 is a nontrivial binomial coefficient, being equal to C(399968, 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14596093 + ... + 14601571.

It is an arithmetic number, because the mean of its divisors is an integer number (2036521440).

Almost surely, 279987000528 is an apocalyptic number.

79987000528 is the 399967-th triangular number and also the 199984-th hexagonal number.

79987000528 is the 133323-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79987000528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81460857600).

79987000528 is an abundant number, since it is smaller than the sum of its proper divisors (82934714672).

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

79987000528 is a wasteful number, since it uses less digits than its factorization.

79987000528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 79987000528 in words is "seventy-nine billion, nine hundred eighty-seven million, five hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 58 73 116 146 232 292 431 464 584 862 1168 1724 2117 3448 4234 5479 6896 8468 10958 12499 16936 21916 24998 31463 33872 43832 49996 62926 87664 99992 125852 158891 199984 251704 317782 399967 503408 635564 799934 912427 1271128 1599868 1824854 2361449 2542256 3199736 3649708 4722898 6399472 7299416 9445796 11599043 14598832 18891592 23198086 37783184 46396172 68482021 92792344 136964042 172385777 185584688 273928084 344771554 547856168 689543108 1095712336 1379086216 2758172432 4999187533 9998375066 19996750132 39993500264 79987000528