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493851940516 = 2211217218792
BaseRepresentation
bin1110010111110111101…
…11101001011010100100
31202012201101112221010201
413023323313221122210
531042402044044031
61014512241000244
750452053142564
oct7137367513244
91665641487121
10493851940516
11180494600400
127b866023084
13377544b245c
1419c8c8b2da4
15cca6000d61
hex72fbde96a4

493851940516 has 81 divisors (see below), whose sum is σ = 1009654554657. Its totient is φ = 211161118080.

The previous prime is 493851940501. The next prime is 493851940531. The reversal of 493851940516 is 615049158394.

The square root of 493851940516 is 702746.

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

It is an interprime number because it is at equal distance from previous prime (493851940501) and next prime (493851940531).

It can be written as a sum of positive squares in only one way, i.e., 384486804900 + 109365135616 = 620070^2 + 330704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 262826065 + ... + 262827943.

Almost surely, 2493851940516 is an apocalyptic number.

493851940516 is the 702746-th square number.

It is an amenable number.

493851940516 is an abundant number, since it is smaller than the sum of its proper divisors (515802614141).

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

493851940516 is a wasteful number, since it uses less digits than its factorization.

493851940516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 493851940516 in words is "four hundred ninety-three billion, eight hundred fifty-one million, nine hundred forty thousand, five hundred sixteen".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 484 578 748 1156 1879 2057 3179 3758 4114 6358 7516 8228 12716 20669 31943 34969 41338 63886 69938 82676 127772 139876 227359 351373 454718 543031 702746 909436 1086062 1405492 2172124 3530641 3865103 5973341 7061282 7730206 11946682 14122564 15460412 23893364 38837051 60020897 65706751 77674102 120041794 131413502 155348204 240083588 262827004 427207561 660229867 854415122 1020355249 1320459734 1708830244 2040710498 2640919468 4081420996 7262528537 11223907739 14525057074 22447815478 29050114148 44895630956 123462985129 246925970258 493851940516