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380464283648 = 214233132569
BaseRepresentation
bin1011000100101010111…
…00000100000000000000
31100101001012200011011202
411202111130010000000
522213142324034043
6450441034000332
736326155023521
oct5422534040000
91311035604152
10380464283648
11137399195579
12618a08760a8
1329b541c1977
14145b3816848
159d6b7dd1b8
hex5895704000

380464283648 has 120 divisors (see below), whose sum is σ = 819625873920. Its totient is φ = 176086056960.

The previous prime is 380464283627. The next prime is 380464283657. The reversal of 380464283648 is 846382464083.

It is a super-2 number, since 2×3804642836482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380464283593 and 380464283602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11665508 + ... + 11698076.

It is an arithmetic number, because the mean of its divisors is an integer number (6830215616).

Almost surely, 2380464283648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380464283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409812936960).

380464283648 is an abundant number, since it is smaller than the sum of its proper divisors (439161590272).

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

380464283648 is an equidigital number, since it uses as much as digits as its factorization.

380464283648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32651 (or 32625 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 56.

The spelling of 380464283648 in words is "three hundred eighty billion, four hundred sixty-four million, two hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 256 368 496 512 713 736 992 1024 1426 1472 1984 2048 2852 2944 3968 4096 5704 5888 7936 8192 11408 11776 15872 16384 22816 23552 31744 32569 45632 47104 63488 65138 91264 94208 126976 130276 182528 188416 253952 260552 365056 376832 507904 521104 730112 749087 1009639 1042208 1460224 1498174 2019278 2084416 2920448 2996348 4038556 4168832 5840896 5992696 8077112 8337664 11681792 11985392 16154224 16675328 23221697 23970784 32308448 33350656 46443394 47941568 64616896 66701312 92886788 95883136 129233792 133402624 185773576 191766272 258467584 266805248 371547152 383532544 516935168 533610496 743094304 767065088 1033870336 1486188608 1534130176 2067740672 2972377216 3068260352 4135481344 5944754432 6136520704 8270962688 11889508864 12273041408 16541925376 23779017728 47558035456 95116070912 190232141824 380464283648