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212572566980 = 225316112744257
BaseRepresentation
bin1100010111111001001…
…1111111010111000100
3202022200112210021002022
43011332103333113010
511440322034120410
6241353211502312
721233514002144
oct3057623772704
9668615707068
10212572566980
1182173743924
1235246157998
1317078c95b17
14a407b84924
1557e20e4455
hex317e4ff5c4

212572566980 has 96 divisors (see below), whose sum is σ = 472055119872. Its totient is φ = 80298086400.

The previous prime is 212572566971. The next prime is 212572566989. The reversal of 212572566980 is 89665275212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212572566971) and next prime (212572566989).

It is not an unprimeable number, because it can be changed into a prime (212572566989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4781012 + ... + 4825268.

It is an arithmetic number, because the mean of its divisors is an integer number (4917240832).

Almost surely, 2212572566980 is an apocalyptic number.

212572566980 is a gapful number since it is divisible by the number (20) 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 212572566980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236027559936).

212572566980 is an abundant number, since it is smaller than the sum of its proper divisors (259482552892).

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

212572566980 is a wasteful number, since it uses less digits than its factorization.

212572566980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44485 (or 44483 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 212572566980 in words is "two hundred twelve billion, five hundred seventy-two million, five hundred sixty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 31 61 62 122 124 127 155 244 254 305 310 508 610 620 635 1220 1270 1891 2540 3782 3937 7564 7747 7874 9455 15494 15748 18910 19685 30988 37820 38735 39370 44257 77470 78740 88514 154940 177028 221285 240157 442570 480314 885140 960628 1200785 1371967 2401570 2699677 2743934 4803140 5399354 5487868 5620639 6859835 10798708 11241278 13498385 13719670 22482556 26996770 27439340 28103195 53993540 56206390 83689987 112412780 167379974 174239809 334759948 342858979 348479618 418449935 685717958 696959236 836899870 871199045 1371435916 1673799740 1714294895 1742398090 3428589790 3484796180 6857179580 10628628349 21257256698 42514513396 53143141745 106286283490 212572566980