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73670987776 = 21242412
BaseRepresentation
bin100010010011100100…
…0100001000000000000
321001011020221221101211
41010213020201000000
52201334233102101
653502144535504
75215431030631
oct1044710410000
9231136857354
1073670987776
1129275396571
1212340321594
136c40b50a79
1437cc3a3888
151db2a45c51
hex1127221000

73670987776 has 39 divisors (see below), whose sum is σ = 147358735693. Its totient is φ = 36826808320.

The previous prime is 73670987773. The next prime is 73670987777. The reversal of 73670987776 is 67778907637.

The square root of 73670987776 is 271424.

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., 72563429376 + 1107558400 = 269376^2 + 33280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73670987773) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 17369016 + ... + 17373256.

Almost surely, 273670987776 is an apocalyptic number.

73670987776 is the 271424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73670987776

73670987776 is an abundant number, since it is smaller than the sum of its proper divisors (73687747917).

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

73670987776 is an frugal number, since it uses more digits than its factorization.

73670987776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 130691232, while the sum is 67.

The spelling of 73670987776 in words is "seventy-three billion, six hundred seventy million, nine hundred eighty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4241 8482 16964 33928 67856 135712 271424 542848 1085696 2171392 4342784 8685568 17371136 17986081 35972162 71944324 143888648 287777296 575554592 1151109184 2302218368 4604436736 9208873472 18417746944 36835493888 73670987776