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769241260096 = 2617264492
BaseRepresentation
bin10110011000110100101…
…10100010000001000000
32201112112202010212010121
423030122112202001000
5100100401230310341
61345215021510024
7106401341553331
oct13143226420100
92645482125117
10769241260096
112772627011a1
12105101412314
135770164996a
1429335252288
1515022c914d1
hexb31a5a2040

769241260096 has 63 divisors (see below), whose sum is σ = 1621788432439. Its totient is φ = 361939755008.

The previous prime is 769241260063. The next prime is 769241260153. The reversal of 769241260096 is 690062142967.

The square root of 769241260096 is 877064.

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

It can be written as a sum of positive squares in 4 ways, for example, as 476707393600 + 292533866496 = 690440^2 + 540864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119277480 + ... + 119283928.

Almost surely, 2769241260096 is an apocalyptic number.

769241260096 is the 877064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769241260096

769241260096 is an abundant number, since it is smaller than the sum of its proper divisors (852547172343).

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

769241260096 is an frugal number, since it uses more digits than its factorization.

769241260096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12944 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 769241260096 in words is "seven hundred sixty-nine billion, two hundred forty-one million, two hundred sixty thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 6449 9248 12898 18496 25796 51592 103184 109633 206368 219266 412736 438532 877064 1754128 1863761 3508256 3727522 7016512 7455044 14910088 29820176 41589601 59640352 83179202 119280704 166358404 332716808 665433616 707023217 1330867232 1414046434 2661734464 2828092868 5656185736 11312371472 12019394689 22624742944 24038789378 45249485888 48077578756 96155157512 192310315024 384620630048 769241260096