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57148395450 = 23523174432713
BaseRepresentation
bin110101001110010011…
…110100111110111010
312110111202210021200220
4311032103310332322
51414014442123300
642130440240510
74062122226546
oct651623647672
9173452707626
1057148395450
1122266863393
12b0aaa70136
135509a32413
142aa1c78a26
151747222da0
hexd4e4f4fba

57148395450 has 96 divisors (see below), whose sum is σ = 142548572736. Its totient is φ = 15151618560.

The previous prime is 57148395391. The next prime is 57148395461. The reversal of 57148395450 is 5459384175.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57148395393 and 57148395402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21063294 + ... + 21066006.

It is an arithmetic number, because the mean of its divisors is an integer number (1484880966).

Almost surely, 257148395450 is an apocalyptic number.

57148395450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57148395450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71274286368).

57148395450 is an abundant number, since it is smaller than the sum of its proper divisors (85400177286).

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

57148395450 is a wasteful number, since it uses less digits than its factorization.

57148395450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 57148395450 in words is "fifty-seven billion, one hundred forty-eight million, three hundred ninety-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 317 443 634 886 951 1329 1585 1902 2215 2658 2713 3170 4430 4755 5426 6645 7925 8139 9510 11075 13290 13565 15850 16278 22150 23775 27130 33225 40695 47550 66450 67825 81390 135650 140431 203475 280862 406950 421293 702155 842586 860021 1201859 1404310 1720042 2106465 2403718 2580063 3510775 3605577 4212930 4300105 5160126 6009295 7021550 7211154 8600210 10532325 12018590 12900315 18027885 21064650 21500525 25800630 30046475 36055770 43001050 60092950 64501575 90139425 129003150 180278850 380989303 761978606 1142967909 1904946515 2285935818 3809893030 5714839545 9524732575 11429679090 19049465150 28574197725 57148395450