Search a number
-
+
73616712976 = 2429223392
BaseRepresentation
bin100010010001111100…
…1011110010100010000
321001000110211111101001
41010203321132110100
52201231334303401
653452525351344
75214201510232
oct1044371362420
9231013744331
1073616712976
1129247796064
1212326108554
136c328299c1
1437c50b6252
151dacdc4601
hex1123e5e510

73616712976 has 45 divisors (see below), whose sum is σ = 147783520261. Its totient is φ = 35523908672.

The previous prime is 73616712959. The next prime is 73616712989. The reversal of 73616712976 is 67921761637.

The square root of 73616712976 is 271324.

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., 38602818576 + 35013894400 = 196476^2 + 187120^2 .

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, 31472415 + ... + 31474753.

Almost surely, 273616712976 is an apocalyptic number.

73616712976 is the 271324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73616712976

73616712976 is an abundant number, since it is smaller than the sum of its proper divisors (74166807285).

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

73616712976 is an frugal number, since it uses more digits than its factorization.

73616712976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 2370 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 55.

The spelling of 73616712976 in words is "seventy-three billion, six hundred sixteen million, seven hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 2339 3364 4678 6728 9356 13456 18712 37424 67831 135662 271324 542648 1085296 1967099 3934198 5470921 7868396 10941842 15736792 21883684 31473584 43767368 87534736 158656709 317313418 634626836 1269253672 2538507344 4601044561 9202089122 18404178244 36808356488 73616712976