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96973119488 = 21372958313
BaseRepresentation
bin101101001010000001…
…1000110000000000000
3100021022020000212210002
41122110003012000000
53042100104310423
6112314314255132
710002040625660
oct1322403060000
9307266025702
1096973119488
1138142885a63
12169641274a8
1391b56a609b
14499d05c1a0
1527c8636228
hex16940c6000

96973119488 has 112 divisors (see below), whose sum is σ = 229285982880. Its totient is φ = 40126119936.

The previous prime is 96973119461. The next prime is 96973119527. The reversal of 96973119488 is 88491137969.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 1633820 + ... + 1692132.

Almost surely, 296973119488 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 96973119488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114642991440).

96973119488 is an abundant number, since it is smaller than the sum of its proper divisors (132312863392).

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

96973119488 is an equidigital number, since it uses as much as digits as its factorization.

96973119488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58375 (or 58351 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 65.

The spelling of 96973119488 in words is "ninety-six billion, nine hundred seventy-three million, one hundred nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 896 928 1024 1624 1792 1856 2048 3248 3584 3712 4096 6496 7168 7424 8192 12992 14336 14848 25984 28672 29696 51968 57344 58313 59392 103936 116626 118784 207872 233252 237568 408191 415744 466504 816382 831488 933008 1632764 1662976 1691077 1866016 3265528 3382154 3732032 6531056 6764308 7464064 11837539 13062112 13528616 14928128 23675078 26124224 27057232 29856256 47350156 52248448 54114464 59712512 94700312 104496896 108228928 119425024 189400624 208993792 216457856 238850048 378801248 417987584 432915712 477700096 757602496 835975168 865831424 1515204992 1671950336 1731662848 3030409984 3343900672 3463325696 6060819968 6926651392 12121639936 13853302784 24243279872 48486559744 96973119488