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6973940835684 = 2232233218892
BaseRepresentation
bin110010101111011111101…
…0001000010010101100100
3220200200221221001021021100
41211132333101002111210
51403230112323220214
622455441215120100
71316564520011214
oct145367721022544
926620857037240
106973940835684
1122496a4878509
1294771a813030
133b784183b484
141a177d340244
15c161ca60309
hex657bf442564

6973940835684 has 81 divisors (see below), whose sum is σ = 17713933906123. Its totient is φ = 2313444578304.

The previous prime is 6973940835647. The next prime is 6973940835713. The reversal of 6973940835684 is 4865380493796.

The square root of 6973940835684 is 2640822.

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

6973940835684 is a `hidden beast` number, since 6 + 97 + 3 + 9 + 408 + 3 + 56 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 759250822500 + 6214690013184 = 871350^2 + 2492928^2 .

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, 3691868212 + ... + 3691870100.

Almost surely, 26973940835684 is an apocalyptic number.

6973940835684 is the 2640822-nd square number.

It is an amenable number.

6973940835684 is an abundant number, since it is smaller than the sum of its proper divisors (10739993070439).

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

6973940835684 is an equidigital number, since it uses as much as digits as its factorization.

6973940835684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 6973940835684 in words is "six trillion, nine hundred seventy-three billion, nine hundred forty million, eight hundred thirty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 1889 2097 2796 3778 4194 5667 7556 8388 11334 17001 22668 34002 54289 68004 108578 162867 217156 325734 440137 488601 651468 880274 977202 1320411 1760548 1954404 2640822 3568321 3961233 5281644 7136642 7922466 10704963 14273284 15844932 21409926 32114889 42819852 64229778 102551921 128459556 205103842 307655763 410207684 615311526 831418793 922967289 1230623052 1662837586 1845934578 2494256379 3325675172 3691869156 4988512758 7482769137 9977025516 14965538274 29931076548 193720578769 387441157538 581161736307 774882315076 1162323472614 1743485208921 2324646945228 3486970417842 6973940835684