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213373887272 = 23731352311437
BaseRepresentation
bin1100011010111000010…
…0110010001100101000
3202101202101121112212122
43012232010302030220
511443442203343042
6242004514530412
721262414055000
oct3065604621450
9671671545778
10213373887272
1182544aa66a7
123542a596a08
1317175cbb940
14a482375000
15583c62c7d2
hex31ae132328

213373887272 has 128 divisors (see below), whose sum is σ = 503455008000. Its totient is φ = 84242882304.

The previous prime is 213373887271. The next prime is 213373887277. The reversal of 213373887272 is 272788373312.

It is not an unprimeable number, because it can be changed into a prime (213373887271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18650738 + ... + 18662174.

It is an arithmetic number, because the mean of its divisors is an integer number (3933242250).

Almost surely, 2213373887272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213373887272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251727504000).

213373887272 is an abundant number, since it is smaller than the sum of its proper divisors (290081120728).

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

213373887272 is a wasteful number, since it uses less digits than its factorization.

213373887272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000 (or 11982 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 53.

The spelling of 213373887272 in words is "two hundred thirteen billion, three hundred seventy-three million, eight hundred eighty-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 343 364 392 523 637 686 728 1046 1274 1372 2092 2548 2744 3661 4184 4459 5096 6799 7322 8918 11437 13598 14644 17836 22874 25627 27196 29288 35672 45748 47593 51254 54392 80059 91496 95186 102508 148681 160118 179389 190372 205016 297362 320236 333151 358778 380744 560413 594724 640472 666302 717556 1040767 1120826 1189448 1332604 1435112 2081534 2241652 2332057 2665208 3922891 4163068 4483304 4664114 5981551 7285369 7845782 8326136 9328228 11963102 14570738 15691564 18656456 23926204 29141476 31383128 41870857 47852408 50997583 58282952 77760163 83741714 101995166 155520326 167483428 203990332 293095999 311040652 334966856 407980664 544321141 586191998 622081304 1088642282 1172383996 2051671993 2177284564 2344767992 3810247987 4103343986 4354569128 7620495974 8206687972 15240991948 16413375944 26671735909 30481983896 53343471818 106686943636 213373887272