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168612069376 = 2204012
BaseRepresentation
bin1001110100001000010…
…0000000000000000000
3121010012212100121020101
42131002010000000000
510230304142210001
6205243113452144
715116235641122
oct2350204000000
9533185317211
10168612069376
1165565132373
1228817a11054
1312b9154306a
1482375c7212
1545bca8ba01
hex2742100000

168612069376 has 63 divisors (see below), whose sum is σ = 338067032653. Its totient is φ = 84095795200.

The previous prime is 168612069359. The next prime is 168612069383. The reversal of 168612069376 is 673960216861.

The square root of 168612069376 is 410624.

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., 166934347776 + 1677721600 = 408576^2 + 40960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 420478776 + ... + 420479176.

Almost surely, 2168612069376 is an apocalyptic number.

168612069376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

168612069376 is the 410624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168612069376

168612069376 is an abundant number, since it is smaller than the sum of its proper divisors (169454963277).

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

168612069376 is an frugal number, since it uses more digits than its factorization.

168612069376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 168612069376 in words is "one hundred sixty-eight billion, six hundred twelve million, sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 401 512 802 1024 1604 2048 3208 4096 6416 8192 12832 16384 25664 32768 51328 65536 102656 131072 160801 205312 262144 321602 410624 524288 643204 821248 1048576 1286408 1642496 2572816 3284992 5145632 6569984 10291264 13139968 20582528 26279936 41165056 52559872 82330112 105119744 164660224 210239488 329320448 420478976 658640896 1317281792 2634563584 5269127168 10538254336 21076508672 42153017344 84306034688 168612069376