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216132396879364 = 2272432244212
BaseRepresentation
bin110001001001001000111110…
…101111011000111000000100
31001100021001111100111012021121
4301021020332233120320010
5211312103122100114424
62043401504042123324
763345023164256200
oct6111107657307004
91040231440435247
10216132396879364
1162959264529889
12202a7aa64b0544
13937a2750b4114
143b52c14497b00
1519ec176439ee4
hexc4923ebd8e04

216132396879364 has 81 divisors (see below), whose sum is σ = 450472393331541. Its totient is φ = 90470321837280.

The previous prime is 216132396879359. The next prime is 216132396879367. The reversal of 216132396879364 is 463978693231612.

The square root of 216132396879364 is 14701442.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17700173764 + 216114696705600 = 133042^2 + 14700840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 216132396879293 and 216132396879302.

It is not an unprimeable number, because it can be changed into a prime (216132396879367) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8850255874 + ... + 8850280294.

Almost surely, 2216132396879364 is an apocalyptic number.

216132396879364 is the 14701442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216132396879364

216132396879364 is an abundant number, since it is smaller than the sum of its proper divisors (234339996452177).

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

216132396879364 is an frugal number, since it uses more digits than its factorization.

216132396879364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48946 (or 24473 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 70.

The spelling of 216132396879364 in words is "two hundred sixteen trillion, one hundred thirty-two billion, three hundred ninety-six million, eight hundred seventy-nine thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 1204 1849 2107 3698 4214 7396 8428 12943 24421 25886 48842 51772 90601 97684 170947 181202 341894 362404 683788 1050103 1196629 2100206 2393258 4200412 4786516 7350721 14701442 29402884 45154429 51455047 90308858 102910094 180617716 205820188 316081003 596385241 632162006 1192770482 1264324012 2212567021 2385540964 4174696687 4425134042 8349393374 8850268084 16698786748 25644565363 29222876809 51289130726 58445753618 102578261452 116891507236 179511957541 359023915082 718047830164 1102716310609 1256583702787 2205432621218 2513167405574 4410865242436 5026334811148 7719014174263 15438028348526 30876056697052 54033099219841 108066198439682 216132396879364