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9949704996 = 22372111980963
BaseRepresentation
bin10010100010000110…
…00111001100100100
3221200102010101100110
421101003013030210
5130334111024441
64323144413020
7501364045200
oct112103071444
927612111313
109949704996
1142463926a0
121b18177170
13c2745aa0a
146a55cdb00
153d3775b16
hex2510c7324

9949704996 has 144 divisors (see below), whose sum is σ = 31012450560. Its totient is φ = 2448290880.

The previous prime is 9949704991. The next prime is 9949705001. The reversal of 9949704996 is 6994079499.

It is an interprime number because it is at equal distance from previous prime (9949704991) and next prime (9949705001).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (9949704991) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 82411 + ... + 163373.

It is an arithmetic number, because the mean of its divisors is an integer number (215364240).

Almost surely, 29949704996 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 9949704996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15506225280).

9949704996 is an abundant number, since it is smaller than the sum of its proper divisors (21062745564).

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

9949704996 is a wasteful number, since it uses less digits than its factorization.

9949704996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81014 (or 81005 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 66.

The square root of 9949704996 is about 99748.2079839031. The cubic root of 9949704996 is about 2150.8167076425.

The spelling of 9949704996 in words is "nine billion, nine hundred forty-nine million, seven hundred four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 49 57 66 76 77 84 98 114 132 133 147 154 196 209 228 231 266 294 308 399 418 462 532 539 588 627 798 836 924 931 1078 1254 1463 1596 1617 1862 2156 2508 2793 2926 3234 3724 4389 5586 5852 6468 8778 10241 11172 17556 20482 30723 40964 61446 80963 122892 161926 242889 323852 485778 566741 890593 971556 1133482 1538297 1700223 1781186 2266964 2671779 3076594 3400446 3562372 3967187 4614891 5343558 6153188 6234151 6800892 7934374 9229782 10687116 10768079 11901561 12468302 15868748 16921267 18459564 18702453 21536158 23803122 24936604 32304237 33842534 37404906 43072316 43639057 47606244 50763801 64608474 67685068 74809812 75376553 87278114 101527602 118448869 129216948 130917171 150753106 174556228 203055204 226129659 236897738 261834342 301506212 355346607 452259318 473795476 523668684 710693214 829142083 904518636 1421386428 1658284166 2487426249 3316568332 4974852498 9949704996