Search a number
-
+
764730546560 = 27513182311083
BaseRepresentation
bin10110010000011010111…
…11100001100110000000
32201002220101102212102022
423020031133201212000
5100012132004442220
61343151245341012
7106151510252111
oct13101537414600
92632811385368
10764730546560
11275358503372
12104262867768
1357162c918b6
1429028158208
1514d5bc88925
hexb20d7e1980

764730546560 has 128 divisors (see below), whose sum is σ = 1844544303360. Its totient is φ = 303160965120.

The previous prime is 764730546551. The next prime is 764730546607. The reversal of 764730546560 is 65645037467.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68994779 + ... + 69005861.

It is an arithmetic number, because the mean of its divisors is an integer number (14410502370).

Almost surely, 2764730546560 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 764730546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922272151680).

764730546560 is an abundant number, since it is smaller than the sum of its proper divisors (1079813756800).

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

764730546560 is a wasteful number, since it uses less digits than its factorization.

764730546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12056 (or 12044 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 53.

The spelling of 764730546560 in words is "seven hundred sixty-four billion, seven hundred thirty million, five hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 262 320 524 640 655 823 1048 1310 1646 2096 2620 3292 4115 4192 5240 6584 8230 8384 10480 11083 13168 16460 16768 20960 22166 26336 32920 41920 44332 52672 55415 65840 83840 88664 105344 107813 110830 131680 177328 215626 221660 263360 354656 431252 443320 526720 539065 709312 862504 886640 1078130 1418624 1451873 1725008 1773280 2156260 2903746 3450016 3546560 4312520 5807492 6900032 7093120 7259365 8625040 9121309 11614984 13800064 14518730 17250080 18242618 23229968 29037460 34500160 36485236 45606545 46459936 58074920 69000320 72970472 91213090 92919872 116149840 145940944 182426180 185839744 232299680 291881888 364852360 464599360 583763776 729704720 929198720 1167527552 1194891479 1459409440 2389782958 2918818880 4779565916 5837637760 5974457395 9559131832 11948914790 19118263664 23897829580 38236527328 47795659160 76473054656 95591318320 152946109312 191182636640 382365273280 764730546560