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761367934096 = 247211228332
BaseRepresentation
bin10110001010001010001…
…00001011010010010000
32200210020001002110021221
423011011010023102100
544433240142342341
61341433445054424
7106002256442200
oct13050504132220
92623201073257
10761367934096
11273992393900
121036846b7414
1356a48429493
1428bc9720400
1514c11968ed1
hexb14510b490

761367934096 has 135 divisors (see below), whose sum is σ = 1886838220953. Its totient is φ = 296532149760.

The previous prime is 761367934049. The next prime is 761367934147. The reversal of 761367934096 is 690439763167.

The square root of 761367934096 is 872564.

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., 298880890000 + 462487044096 = 546700^2 + 680064^2 .

It is a super-2 number, since 2×7613679340962 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 268748296 + ... + 268751128.

Almost surely, 2761367934096 is an apocalyptic number.

761367934096 is the 872564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761367934096

761367934096 is an abundant number, since it is smaller than the sum of its proper divisors (1125470286857).

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

761367934096 is an equidigital number, since it uses as much as digits as its factorization.

761367934096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5710 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 61.

The spelling of 761367934096 in words is "seven hundred sixty-one billion, three hundred sixty-seven million, nine hundred thirty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 784 847 968 1078 1232 1694 1936 2156 2833 3388 4312 5666 5929 6776 8624 11332 11858 13552 19831 22664 23716 31163 39662 45328 47432 62326 79324 94864 124652 138817 158648 218141 249304 277634 317296 342793 436282 498608 555268 685586 872564 1110536 1371172 1526987 1745128 2221072 2399551 2742344 3053974 3490256 4799102 5484688 6107948 8025889 9598204 12215896 16051778 16796857 19196408 24431792 32103556 33593714 38392816 56181223 64207112 67187428 88284779 112362446 128414224 134374856 176569558 224724892 268749712 353139116 393268561 449449784 617993453 706278232 786537122 898899568 971132569 1235986906 1412556464 1573074244 1942265138 2471973812 3146148488 3884530276 4325954171 4943947624 6292296976 6797927983 7769060552 8651908342 9887895248 13595855966 15538121104 17303816684 27191711932 34607633368 47585495881 54383423864 69215266736 95170991762 108766847728 190341983524 380683967048 761367934096