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69217400464 = 24172532732
BaseRepresentation
bin100000001110110101…
…1011011011010010000
320121122212202021010121
41000131223123122100
52113224123303324
651444213040024
75000162124232
oct1003553333220
9217585667117
1069217400464
112739a4664a3
12114b8926014
1366b12778c4
1434c8ada252
151c01a745e4
hex101dadb690

69217400464 has 135 divisors (see below), whose sum is σ = 147216464913. Its totient is φ = 31520526336.

The previous prime is 69217400453. The next prime is 69217400519. The reversal of 69217400464 is 46400471296.

The square root of 69217400464 is 263092.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2554291600 + 66663108864 = 50540^2 + 258192^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 69217400464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 948183532 + ... + 948183604.

Almost surely, 269217400464 is an apocalyptic number.

69217400464 is the 263092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69217400464

69217400464 is an abundant number, since it is smaller than the sum of its proper divisors (77999064449).

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

69217400464 is an equidigital number, since it uses as much as digits as its factorization.

69217400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 69217400464 in words is "sixty-nine billion, two hundred seventeen million, four hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 53 68 73 106 136 146 212 272 289 292 424 578 584 848 901 1156 1168 1241 1802 2312 2482 2809 3604 3869 4624 4964 5329 5618 7208 7738 9928 10658 11236 14416 15317 15476 19856 21097 21316 22472 30634 30952 42194 42632 44944 47753 61268 61904 65773 84388 85264 90593 95506 122536 131546 168776 181186 191012 205057 245072 263092 282437 337552 362372 382024 410114 526184 564874 724744 764048 811801 820228 1052368 1118141 1129748 1449488 1540081 1623602 1640456 2236282 2259496 3080162 3247204 3280912 3485969 4472564 4518992 4801429 6160324 6494408 6971938 8945128 9602858 12320648 12988816 13943876 14969161 17890256 19205716 24641296 27887752 29938322 38411432 55775504 59261473 59876644 76822864 81624293 118522946 119753288 163248586 237045892 239506576 254475737 326497172 474091784 508951474 652994344 948183568 1017902948 1305988688 2035805896 4071611792 4326087529 8652175058 17304350116 34608700232 69217400464