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386366669056 = 285327332
BaseRepresentation
bin1011001111101010011…
…11111000000100000000
31100221021120001101210201
411213311033320010000
522312234331402211
6453254442334544
736625345333324
oct5476517700400
91327246041721
10386366669056
11139947a04045
1262a694ba454
132a584ca0904
14149b3695984
15a0b4a930c1
hex59f53f8100

386366669056 has 81 divisors (see below), whose sum is σ = 787123882839. Its totient is φ = 189279787008.

The previous prime is 386366668973. The next prime is 386366669071. The reversal of 386366669056 is 650966663683.

It is a happy number.

The square root of 386366669056 is 621584.

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

It can be written as a sum of positive squares in 4 ways, for example, as 224312115456 + 162054553600 = 473616^2 + 402560^2 .

It is a super-2 number, since 2×3863666690562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 527102866 + ... + 527103598.

Almost surely, 2386366669056 is an apocalyptic number.

386366669056 is the 621584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386366669056

386366669056 is an abundant number, since it is smaller than the sum of its proper divisors (400757213783).

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

386366669056 is an frugal number, since it uses more digits than its factorization.

386366669056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 64.

Multiplying 386366669056 by its sum of digits (64), we get a square (24727466819584 = 49726722).

386366669056 divided by its sum of digits (64) gives a square (6036979204 = 776982).

The spelling of 386366669056 in words is "three hundred eighty-six billion, three hundred sixty-six million, six hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 733 848 1466 1696 2809 2932 3392 5618 5864 6784 11236 11728 13568 22472 23456 38849 44944 46912 77698 89888 93824 155396 179776 187648 310792 359552 537289 621584 719104 1074578 1243168 2058997 2149156 2486336 4117994 4298312 4972672 8235988 8596624 9945344 16471976 17193248 28476317 32943952 34386496 56952634 65887904 68772992 113905268 131775808 137545984 227810536 263551616 455621072 527103232 911242144 1509244801 1822484288 3018489602 3644968576 6036979204 7289937152 12073958408 24147916816 48295833632 96591667264 193183334528 386366669056