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165473222656 = 216722272
BaseRepresentation
bin1001101000011011111…
…0010000000000000000
3120211010010001200000011
42122012332100000000
510202342121111111
6204003425234304
714645403120400
oct2320676200000
9524103050004
10165473222656
11641a4358375
12280a0792994
13127b1166401
14801a79a800
15448721d021
hex2686f90000

165473222656 has 153 divisors (see below), whose sum is σ = 386678979579. Its totient is φ = 70604685312.

The previous prime is 165473222653. The next prime is 165473222671. The reversal of 165473222656 is 656222374561.

The square root of 165473222656 is 406784.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165473222653) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 728956815 + ... + 728957041.

Almost surely, 2165473222656 is an apocalyptic number.

165473222656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

165473222656 is the 406784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165473222656

165473222656 is an abundant number, since it is smaller than the sum of its proper divisors (221205756923).

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

165473222656 is an frugal number, since it uses more digits than its factorization.

165473222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 236 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 49.

Multiplying 165473222656 by its sum of digits (49), we get a square (8108187910144 = 28474882).

165473222656 divided by its sum of digits (49) gives a square (3377004544 = 581122).

It can be divided in two parts, 165473 and 222656, that added together give a square (388129 = 6232).

The spelling of 165473222656 in words is "one hundred sixty-five billion, four hundred seventy-three million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 227 256 392 448 454 512 784 896 908 1024 1568 1589 1792 1816 2048 3136 3178 3584 3632 4096 6272 6356 7168 7264 8192 11123 12544 12712 14336 14528 16384 22246 25088 25424 28672 29056 32768 44492 50176 50848 51529 57344 58112 65536 88984 100352 101696 103058 114688 116224 177968 200704 203392 206116 229376 232448 355936 360703 401408 406784 412232 458752 464896 711872 721406 802816 813568 824464 929792 1423744 1442812 1605632 1627136 1648928 1859584 2524921 2847488 2885624 3211264 3254272 3297856 3719168 5049842 5694976 5771248 6508544 6595712 7438336 10099684 11389952 11542496 13017088 13191424 14876672 20199368 22779904 23084992 26034176 26382848 40398736 45559808 46169984 52068352 52765696 80797472 91119616 92339968 104136704 105531392 161594944 182239232 184679936 211062784 323189888 364478464 369359872 422125568 646379776 728956928 738719744 844251136 1292759552 1477439488 1688502272 2585519104 2954878976 3377004544 5171038208 5909757952 10342076416 11819515904 20684152832 23639031808 41368305664 82736611328 165473222656