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99941970496 = 264329192
BaseRepresentation
bin101110100010100000…
…0010111001001000000
3100112222010110010201211
41131011000113021000
53114140121023441
6113525051135504
710135440506164
oct1350500271100
9315863403654
1099941970496
1139426700735
1217452444594
1395697a2664
144ba1476ca4
1528ee0c5a81
hex1745017240

99941970496 has 63 divisors (see below), whose sum is σ = 203262932691. Its totient is φ = 48755758464.

The previous prime is 99941970439. The next prime is 99941970533. The reversal of 99941970496 is 69407914999.

The square root of 99941970496 is 316136.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108750325 + ... + 108751243.

It is an arithmetic number, because the mean of its divisors is an integer number (3226395757).

Almost surely, 299941970496 is an apocalyptic number.

99941970496 is the 316136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99941970496

99941970496 is an abundant number, since it is smaller than the sum of its proper divisors (103320962195).

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

99941970496 is an frugal number, since it uses more digits than its factorization.

99941970496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 67.

The spelling of 99941970496 in words is "ninety-nine billion, nine hundred forty-one million, nine hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 919 1376 1838 1849 2752 3676 3698 7352 7396 14704 14792 29408 29584 39517 58816 59168 79034 118336 158068 316136 632272 844561 1264544 1689122 1699231 2529088 3378244 3398462 6756488 6796924 13512976 13593848 27025952 27187696 36316123 54051904 54375392 72632246 108750784 145264492 290528984 581057968 1162115936 1561593289 2324231872 3123186578 6246373156 12492746312 24985492624 49970985248 99941970496