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52176874100 = 22521327342293
BaseRepresentation
bin110000100101111110…
…111110101001110100
311222200021222211111112
4300211332332221310
51323324234432400
635545243254152
73524664053321
oct604576765164
9158607884445
1052176874100
112014553785a
12a141b1a358
134bc6a65200
14274d8abb48
151555a44835
hexc25fbea74

52176874100 has 108 divisors (see below), whose sum is σ = 124285740516. Its totient is φ = 19000949760.

The previous prime is 52176874097. The next prime is 52176874133. The reversal of 52176874100 is 147867125.

It can be written as a sum of positive squares in 18 ways, for example, as 50934170596 + 1242703504 = 225686^2 + 35252^2 .

It is a hoax number, since the sum of its digits (41) 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1212554 + ... + 1254846.

Almost surely, 252176874100 is an apocalyptic number.

52176874100 is a gapful number since it is divisible by the number (50) 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 52176874100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62142870258).

52176874100 is an abundant number, since it is smaller than the sum of its proper divisors (72108866416).

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

52176874100 is a wasteful number, since it uses less digits than its factorization.

52176874100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42406 (or 42386 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 52176874100 in words is "fifty-two billion, one hundred seventy-six million, eight hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 73 100 130 146 169 260 292 325 338 365 650 676 730 845 949 1300 1460 1690 1825 1898 3380 3650 3796 4225 4745 7300 8450 9490 12337 16900 18980 23725 24674 42293 47450 49348 61685 84586 94900 123370 169172 211465 246740 308425 422930 549809 616850 845860 1057325 1099618 1233700 2114650 2199236 2749045 3087389 4229300 5498090 6174778 7147517 10996180 12349556 13745225 14295034 15436945 27490450 28590068 30873890 35737585 40136057 54980900 61747780 71475170 77184725 80272114 142950340 154369450 160544228 178687925 200680285 308738900 357375850 401360570 521768741 714751700 802721140 1003401425 1043537482 2006802850 2087074964 2608843705 4013605700 5217687410 10435374820 13044218525 26088437050 52176874100