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393975400448 = 2117191446397
BaseRepresentation
bin1011011101110101100…
…00111000100000000000
31101122220211020000002002
411232322300320200000
522423330200303243
6500553444043132
740315035435560
oct5567260704000
91348824200062
10393975400448
111420a192a603
12644316934a8
132b1c843b736
14150d5dccda0
15a3aca51eb8
hex5bbac38800

393975400448 has 96 divisors (see below), whose sum is σ = 947679969600. Its totient is φ = 159959826432.

The previous prime is 393975400433. The next prime is 393975400453. The reversal of 393975400448 is 844004579393.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 393975400393 and 393975400402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450815 + ... + 995582.

It is an arithmetic number, because the mean of its divisors is an integer number (9871666350).

Almost surely, 2393975400448 is an apocalyptic number.

393975400448 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

393975400448 is an abundant number, since it is smaller than the sum of its proper divisors (553704569152).

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

393975400448 is a wasteful number, since it uses less digits than its factorization.

393975400448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446445 (or 1446425 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 393975400448 in words is "three hundred ninety-three billion, nine hundred seventy-five million, four hundred thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1024 1064 1216 1792 2048 2128 2432 3584 4256 4864 7168 8512 9728 14336 17024 19456 34048 38912 68096 136192 272384 1446397 2892794 5785588 10124779 11571176 20249558 23142352 27481543 40499116 46284704 54963086 80998232 92569408 109926172 161996464 185138816 192370801 219852344 323992928 370277632 384741602 439704688 647985856 740555264 769483204 879409376 1295971712 1481110528 1538966408 1758818752 2591943424 2962221056 3077932816 3517637504 5183886848 6155865632 7035275008 10367773696 12311731264 14070550016 20735547392 24623462528 28141100032 49246925056 56282200064 98493850112 196987700224 393975400448