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493894106176 = 2610728212
BaseRepresentation
bin1110010111111100110…
…00011111110001000000
31202012211022220011112211
413023332120133301000
531042443342344201
61014520344431504
750453104430542
oct7137630376100
91665738804484
10493894106176
11180506390059
127b878178594
1337760156953
1419c9432b692
15cca9a7e651
hex72fe61fc40

493894106176 has 63 divisors (see below), whose sum is σ = 990522744757. Its totient is φ = 244341159680.

The previous prime is 493894106159. The next prime is 493894106219. The reversal of 493894106176 is 671601498394.

The square root of 493894106176 is 702776.

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., 134853466176 + 359040640000 = 367224^2 + 599200^2 .

It is a super-2 number, since 2×4938941061762 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 493894106176.

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, 601575846 + ... + 601576666.

Almost surely, 2493894106176 is an apocalyptic number.

493894106176 is the 702776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493894106176

493894106176 is an abundant number, since it is smaller than the sum of its proper divisors (496628638581).

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

493894106176 is an frugal number, since it uses more digits than its factorization.

493894106176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 493894106176 in words is "four hundred ninety-three billion, eight hundred ninety-four million, one hundred six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 107 214 428 821 856 1642 1712 3284 3424 6568 6848 11449 13136 22898 26272 45796 52544 87847 91592 175694 183184 351388 366368 674041 702776 732736 1348082 1405552 2696164 2811104 5392328 5622208 9399629 10784656 18799258 21569312 37598516 43138624 72122387 75197032 144244774 150394064 288489548 300788128 576979096 601576256 1153958192 2307916384 4615832768 7717095409 15434190818 30868381636 61736763272 123473526544 246947053088 493894106176