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57948494496 = 25325111172153
BaseRepresentation
bin110101111101111111…
…111101101010100000
312112120112022112020220
4311331333331222200
51422134303310441
642342101203040
74121006035044
oct657577755240
9175515275226
1057948494496
1122637461672
12b292a00480
13560671b3c9
142b3a22c024
1517925b9466
hexd7dffdaa0

57948494496 has 96 divisors (see below), whose sum is σ = 152928554688. Its totient is φ = 19213056000.

The previous prime is 57948494479. The next prime is 57948494519. The reversal of 57948494496 is 69449484975.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 57948494496.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26914156 + ... + 26916308.

It is an arithmetic number, because the mean of its divisors is an integer number (1593005778).

Almost surely, 257948494496 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 57948494496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76464277344).

57948494496 is an abundant number, since it is smaller than the sum of its proper divisors (94980060192).

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

57948494496 is a wasteful number, since it uses less digits than its factorization.

57948494496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3526 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 69.

The spelling of 57948494496 in words is "fifty-seven billion, nine hundred forty-eight million, four hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 251 502 753 1004 1117 1506 2008 2153 2234 3012 3351 4016 4306 4468 6024 6459 6702 8032 8612 8936 12048 12918 13404 17224 17872 24096 25836 26808 34448 35744 51672 53616 68896 103344 107232 206688 280367 540403 560734 841101 1080806 1121468 1621209 1682202 2161612 2242936 2404901 3242418 3364404 4323224 4485872 4809802 6484836 6728808 7214703 8646448 8971744 9619604 12969672 13457616 14429406 17292896 19239208 25939344 26915232 28858812 38478416 51878688 57717624 76956832 115435248 230870496 603630151 1207260302 1810890453 2414520604 3621780906 4829041208 7243561812 9658082416 14487123624 19316164832 28974247248 57948494496