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990509078916 = 2232723609166487
BaseRepresentation
bin11100110100111101111…
…00010001100110000100
310111200200021120200100100
432122132330101212010
5112212030311011131
62035011131044100
7131363511153120
oct16323674214604
93450607520310
10990509078916
11352088609465
1213bb735a0630
1372534bc19c6
1435d25b60580
151ab734167e6
hexe69ef11984

990509078916 has 72 divisors (see below), whose sum is σ = 2861609063040. Its totient is φ = 282988907136.

The previous prime is 990509078899. The next prime is 990509078941. The reversal of 990509078916 is 619870905099.

990509078916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9905090789162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5866225 + ... + 6032711.

It is an arithmetic number, because the mean of its divisors is an integer number (39744570320).

Almost surely, 2990509078916 is an apocalyptic number.

It is an amenable number.

990509078916 is an abundant number, since it is smaller than the sum of its proper divisors (1871099984124).

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

990509078916 is a wasteful number, since it uses less digits than its factorization.

990509078916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190113 (or 190108 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 63.

The spelling of 990509078916 in words is "nine hundred ninety billion, five hundred nine million, seventy-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 23609 47218 70827 94436 141654 165263 166487 212481 283308 330526 332974 424962 495789 499461 661052 665948 849924 991578 998922 1165409 1487367 1498383 1983156 1997844 2330818 2974734 2996766 3496227 4661636 5949468 5993532 6992454 10488681 13984908 20977362 41954724 3930591583 7861183166 11791774749 15722366332 23583549498 27514141081 35375324247 47167098996 55028282162 70750648494 82542423243 110056564324 141501296988 165084846486 247627269729 330169692972 495254539458 990509078916