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3058679192464 = 247489232
BaseRepresentation
bin101100100000100111011…
…111001001101110010000
3101211101222121112002212201
4230200213133021232100
5400103133333124324
610301045434132544
7433660631110000
oct54404737115620
911741877462781
103058679192464
11a7a1a6734565
12414961581154
1319258074826c
14a80801b0000
155486b046444
hex2c8277c9b90

3058679192464 has 75 divisors (see below), whose sum is σ = 6914252934843. Its totient is φ = 1310715602784.

The previous prime is 3058679192453. The next prime is 3058679192479. The reversal of 3058679192464 is 4642919768503.

The square root of 3058679192464 is 1748908.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3058679192396 and 3058679192405.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 342781507 + ... + 342790429.

It is a 1-persistent number, because it is pandigital, but 2⋅3058679192464 = 6117358384928 is not.

Almost surely, 23058679192464 is an apocalyptic number.

3058679192464 is the 1748908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3058679192464

3058679192464 is an abundant number, since it is smaller than the sum of its proper divisors (3855573742379).

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

3058679192464 is an frugal number, since it uses more digits than its factorization.

3058679192464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17882 (or 8932 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 64.

Multiplying 3058679192464 by its sum of digits (64), we get a square (195755468317696 = 139912642).

The spelling of 3058679192464 in words is "three trillion, fifty-eight billion, six hundred seventy-nine million, one hundred ninety-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2401 2744 4802 5488 8923 9604 17846 19208 35692 38416 62461 71384 124922 142768 249844 437227 499688 874454 999376 1748908 3060589 3497816 6121178 6995632 12242356 21424123 24484712 42848246 48969424 79619929 85696492 159239858 171392984 318479716 342785968 557339503 636959432 1114679006 1273918864 2229358012 3901376521 4458716024 7802753042 8917432048 15605506084 27309635647 31211012168 54619271294 62422024336 109238542588 191167449529 218477085176 382334899058 436954170352 764669798116 1529339596232 3058679192464