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85513063520 = 2553121118167
BaseRepresentation
bin100111110100011111…
…0011100110001100000
322011201112220201101202
41033220332130301200
52400112321013040
6103141213420332
76115044022043
oct1175076346140
9264645821352
1085513063520
11332a1993325
12146a619a6a8
1380aa370891
1441d3032c5a
1523574be015
hex13e8f9cc60

85513063520 has 96 divisors (see below), whose sum is σ = 208665870336. Its totient is φ = 33082099200.

The previous prime is 85513063511. The next prime is 85513063547. The reversal of 85513063520 is 2536031558.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10466477 + ... + 10474643.

It is an arithmetic number, because the mean of its divisors is an integer number (2173602816).

Almost surely, 285513063520 is an apocalyptic number.

85513063520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85513063520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104332935168).

85513063520 is an abundant number, since it is smaller than the sum of its proper divisors (123152806816).

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

85513063520 is a wasteful number, since it uses less digits than its factorization.

85513063520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10324 (or 10316 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 85513063520 in words is "eighty-five billion, five hundred thirteen million, sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2111 2480 4222 4960 8167 8444 10555 16334 16888 21110 32668 33776 40835 42220 65336 65441 67552 81670 84440 130672 130882 163340 168880 253177 261344 261764 326680 327205 337760 506354 523528 653360 654410 1012708 1047056 1265885 1306720 1308820 2025416 2094112 2531770 2617640 4050832 5063540 5235280 8101664 10127080 10470560 17240537 20254160 34481074 40508320 68962148 86202685 137924296 172405370 275848592 344810740 534456647 551697184 689621480 1068913294 1379242960 2137826588 2672283235 2758485920 4275653176 5344566470 8551306352 10689132940 17102612704 21378265880 42756531760 85513063520