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993192549072 = 243131157950469
BaseRepresentation
bin11100111001111101110…
…00111001101011010000
310111221121022000002100220
432130332320321223100
5112233024243032242
62040133311113040
7131520144242223
oct16347670715320
93457538002326
10993192549072
11353235335299
121405a2212780
1372871b3b679
14360dc2cd5ba
151ac7dcd3bec
hexe73ee39ad0

993192549072 has 40 divisors (see below), whose sum is σ = 2585333292960. Its totient is φ = 328536973440.

The previous prime is 993192549067. The next prime is 993192549211. The reversal of 993192549072 is 270945291399.

It is a super-2 number, since 2×9931925490722 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 993192548997 and 993192549015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78968947 + ... + 78981522.

It is an arithmetic number, because the mean of its divisors is an integer number (64633332324).

Almost surely, 2993192549072 is an apocalyptic number.

It is an amenable number.

993192549072 is an abundant number, since it is smaller than the sum of its proper divisors (1592140743888).

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

993192549072 is a wasteful number, since it uses less digits than its factorization.

993192549072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157950611 (or 157950605 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 60.

The spelling of 993192549072 in words is "nine hundred ninety-three billion, one hundred ninety-two million, five hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 157950469 315900938 473851407 631801876 947702814 1263603752 1895405628 2527207504 3790811256 7581622512 20691511439 41383022878 62074534317 82766045756 124149068634 165532091512 248298137268 331064183024 496596274536 993192549072