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630016837696 = 2647221112
BaseRepresentation
bin10010010101011111110…
…11100000100001000000
32020020011221211101211201
421022233323200201000
540310233302301241
61201231543150544
763342255522241
oct11125773404100
92206157741751
10630016837696
11223209097a84
12a2127445454
134754466952c
14226c8a32cc8
15115c51c0931
hex92afee0840

630016837696 has 63 divisors (see below), whose sum is σ = 1277960776687. Its totient is φ = 308160064640.

The previous prime is 630016837693. The next prime is 630016837717. The reversal of 630016837696 is 696738610036.

The square root of 630016837696 is 793736.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (630016837693) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 298443681 + ... + 298445791.

Almost surely, 2630016837696 is an apocalyptic number.

630016837696 is the 793736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630016837696

630016837696 is an abundant number, since it is smaller than the sum of its proper divisors (647943938991).

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

630016837696 is an frugal number, since it uses more digits than its factorization.

630016837696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 630016837696 in words is "six hundred thirty billion, sixteen million, eight hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 2111 2209 3008 4222 4418 8444 8836 16888 17672 33776 35344 67552 70688 99217 135104 141376 198434 396868 793736 1587472 3174944 4456321 4663199 6349888 8912642 9326398 17825284 18652796 35650568 37305592 71301136 74611184 142602272 149222368 209447087 285204544 298444736 418894174 837788348 1675576696 3351153392 6702306784 9844013089 13404613568 19688026178 39376052356 78752104712 157504209424 315008418848 630016837696