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71368602624036 = 2234181225932
BaseRepresentation
bin10000001110100011001100…
…001101010010000000100100
3100100200202211121220121110000
4100032203030031102000210
533323300344232432121
6411442141115301300
721014132335010604
oct2016431415220044
9310622747817400
1071368602624036
1120816288673113
12800786874a830
1330a90518a84b3
14138a38a1d8c04
1583b6db504526
hex40e8cc352024

71368602624036 has 135 divisors (see below), whose sum is σ = 187680481807203. Its totient is φ = 23648976483840.

The previous prime is 71368602624031. The next prime is 71368602624047. The reversal of 71368602624036 is 63042620686317.

The square root of 71368602624036 is 8447994.

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

71368602624036 is a `hidden beast` number, since 7 + 1 + 3 + 6 + 8 + 6 + 0 + 2 + 624 + 0 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21146662102500 + 50221940521536 = 4598550^2 + 7086744^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (71368602624031) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27523563156 + ... + 27523565748.

Almost surely, 271368602624036 is an apocalyptic number.

71368602624036 is the 8447994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71368602624036

71368602624036 is an abundant number, since it is smaller than the sum of its proper divisors (116311879183167).

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

71368602624036 is an frugal number, since it uses more digits than its factorization.

71368602624036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 71368602624036 in words is "seventy-one trillion, three hundred sixty-eight billion, six hundred two million, six hundred twenty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 324 362 543 724 1086 1629 2172 2593 3258 4887 5186 6516 7779 9774 10372 14661 15558 19548 23337 29322 31116 32761 46674 58644 65522 70011 93348 98283 131044 140022 196566 210033 280044 294849 393132 420066 469333 589698 840132 884547 938666 1179396 1407999 1769094 1877332 2653641 2815998 3538188 4223997 5307282 5631996 6723649 8447994 10614564 12671991 13447298 16895988 20170947 25343982 26894596 38015973 40341894 50687964 60512841 76031946 80683788 84949273 121025682 152063892 169898546 181538523 242051364 254847819 339797092 363077046 509695638 544615569 726154092 764543457 1019391276 1089231138 1216980469 1529086914 2178462276 2293630371 2433960938 3058173828 3650941407 4587260742 4867921876 6880891113 7301882814 9174521484 10952824221 13761782226 14603765628 21905648442 27523564452 32858472663 43811296884 65716945326 98575417989 131433890652 197150835978 220273464889 394301671956 440546929778 660820394667 881093859556 1321640789334 1982461184001 2643281578668 3964922368002 5947383552003 7929844736004 11894767104006 17842150656009 23789534208012 35684301312018 71368602624036