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507765980929 = 401217772
BaseRepresentation
bin1110110001110010011…
…01011111111100000001
31210112122002021102022211
413120321031133330001
531304401042342204
61025133043102121
751453625424224
oct7307115377401
91715562242284
10507765980929
11186384727959
12824a9971941
1338b6105546c
141a80c7b15bb
15d31c804804
hex763935ff01

507765980929 has 9 divisors (see below), whose sum is σ = 509322006921. Its totient is φ = 506214700800.

The previous prime is 507765980851. The next prime is 507765980941. The reversal of 507765980929 is 929089567705.

The square root of 507765980929 is 712577.

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 206856684225 + 300909296704 = 454815^2 + 548552^2 .

It is a de Polignac number, because none of the positive numbers 2k-507765980929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507765980959) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 285742489 + ... + 285744265.

Almost surely, 2507765980929 is an apocalyptic number.

507765980929 is the 712577-th square number.

507765980929 is the 356289-th centered octagonal number.

It is an amenable number.

507765980929 is a deficient number, since it is larger than the sum of its proper divisors (1556025992).

507765980929 is an frugal number, since it uses more digits than its factorization.

507765980929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 67.

The spelling of 507765980929 in words is "five hundred seven billion, seven hundred sixty-five million, nine hundred eighty thousand, nine hundred twenty-nine".

Divisors: 1 401 1777 160801 712577 3157729 285743377 1266249329 507765980929