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70380408096 = 25322925732789
BaseRepresentation
bin100000110001011111…
…1111100110100100000
320201122221011011200100
41001202333330310200
52123114341024341
652155440222400
75041043412105
oct1014277746440
9221587134610
1070380408096
11279369a6329
121178230aa00
1368381b94bb
14359935aaac
151c6dc043b6
hex1062ffcd20

70380408096 has 144 divisors (see below), whose sum is σ = 207857777400. Its totient is φ = 22562340864.

The previous prime is 70380408073. The next prime is 70380408097. The reversal of 70380408096 is 69080408307.

It is a happy number.

70380408096 is a `hidden beast` number, since 70 + 380 + 40 + 80 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70172010000 + 208398096 = 264900^2 + 14436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (70380408097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2130070 + ... + 2162858.

Almost surely, 270380408096 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 70380408096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103928888700).

70380408096 is an abundant number, since it is smaller than the sum of its proper divisors (137477369304).

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

70380408096 is a wasteful number, since it uses less digits than its factorization.

70380408096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33091 (or 33080 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 70380408096 in words is "seventy billion, three hundred eighty million, four hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 257 261 288 348 464 514 522 696 771 928 1028 1044 1392 1542 2056 2088 2313 2784 3084 4112 4176 4626 6168 7453 8224 8352 9252 12336 14906 18504 22359 24672 29812 32789 37008 44718 59624 65578 67077 74016 89436 98367 119248 131156 134154 178872 196734 238496 262312 268308 295101 357744 393468 524624 536616 590202 715488 786936 950881 1049248 1073232 1180404 1573872 1901762 2146464 2360808 2852643 3147744 3803524 4721616 5705286 7607048 8426773 8557929 9443232 11410572 15214096 16853546 17115858 22821144 25280319 30428192 33707092 34231716 45642288 50560638 67414184 68463432 75840957 91284576 101121276 134828368 136926864 151681914 202242552 244376417 269656736 273853728 303363828 404485104 488752834 606727656 733129251 808970208 977505668 1213455312 1466258502 1955011336 2199387753 2426910624 2932517004 3910022672 4398775506 5865034008 7820045344 8797551012 11730068016 17595102024 23460136032 35190204048 70380408096