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9942481216 = 262310961967
BaseRepresentation
bin10010100001001111…
…00011100101000000
3221122220112101012001
421100213203211000
5130330233344331
64322325513344
7501245460463
oct112047434500
927586471161
109942481216
1142422a9328
121b15872854
13c25acb9a5
146a466d2da
153d2cea561
hex2509e3940

9942481216 has 56 divisors (see below), whose sum is σ = 20776631040. Its totient is φ = 4711398912.

The previous prime is 9942481207. The next prime is 9942481217. The reversal of 9942481216 is 6121842499.

9942481216 = T81413 + T81414 + T81415.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9942481217) 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 7 ways as a sum of consecutive naturals, for example, 129465 + ... + 191431.

Almost surely, 29942481216 is an apocalyptic number.

9942481216 is the 81415-th centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9942481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10388315520).

9942481216 is an abundant number, since it is smaller than the sum of its proper divisors (10834149824).

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

9942481216 is a wasteful number, since it uses less digits than its factorization.

9942481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62111 (or 62101 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 9942481216 is about 99711.9913350446. The cubic root of 9942481216 is about 2150.2960627807.

The spelling of 9942481216 in words is "nine billion, nine hundred forty-two million, four hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 109 184 218 368 436 736 872 1472 1744 2507 3488 5014 6976 10028 20056 40112 61967 80224 123934 160448 247868 495736 991472 1425241 1982944 2850482 3965888 5700964 6754403 11401928 13508806 22803856 27017612 45607712 54035224 91215424 108070448 155351269 216140896 310702538 432281792 621405076 1242810152 2485620304 4971240608 9942481216