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990625606464 = 26313757524287
BaseRepresentation
bin11100110101001011110…
…00110010101101000000
310111200222101211220002110
432122211320302231000
5112212300123401324
62035030452415320
7131366424502434
oct16324570625500
93450871756073
10990625606464
1135213836931a
1213bba6617540
13725530a1210
1435d374149c4
151ab7d783329
hexe6a5e32b40

990625606464 has 112 divisors (see below), whose sum is σ = 2826382082048. Its totient is φ = 304404645888.

The previous prime is 990625606403. The next prime is 990625606499. The reversal of 990625606464 is 464606526099.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1627329 + ... + 2151615.

It is an arithmetic number, because the mean of its divisors is an integer number (25235554304).

Almost surely, 2990625606464 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 990625606464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413191041024).

990625606464 is an abundant number, since it is smaller than the sum of its proper divisors (1835756475584).

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

990625606464 is a wasteful number, since it uses less digits than its factorization.

990625606464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525072 (or 525062 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 990625606464 in words is "nine hundred ninety billion, six hundred twenty-five million, six hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 757 832 1248 1514 2271 2496 3028 4542 6056 9084 9841 12112 18168 19682 24224 29523 36336 39364 48448 59046 72672 78728 118092 145344 157456 236184 314912 472368 524287 629824 944736 1048574 1572861 1889472 2097148 3145722 4194296 6291444 6815731 8388592 12582888 13631462 16777184 20447193 25165776 27262924 33554368 40894386 50331552 54525848 81788772 100663104 109051696 163577544 218103392 327155088 396885259 436206784 654310176 793770518 1190655777 1308620352 1587541036 2381311554 3175082072 4762623108 5159508367 6350164144 9525246216 10319016734 12700328288 15478525101 19050492432 20638033468 25400656576 30957050202 38100984864 41276066936 61914100404 76201969728 82552133872 123828200808 165104267744 247656401616 330208535488 495312803232 990625606464