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992738487468 = 22372131271022611
BaseRepresentation
bin11100111001000111101…
…00110010110010101100
310111220102122121100221110
432130203310302302230
5112231112023044333
62040020251032020
7131502661625400
oct16344364626254
93456378540843
10992738487468
11353021aa5072
1214049613b610
13727cba4c070
1436097c95100
151ac53ee2063
hexe723d32cac

992738487468 has 144 divisors (see below), whose sum is σ = 2924703043584. Its totient is φ = 259759301760.

The previous prime is 992738487449. The next prime is 992738487493. The reversal of 992738487468 is 864784837299.

It is a self number, because there is not a number n which added to its sum of digits gives 992738487468.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459483 + ... + 1482093.

Almost surely, 2992738487468 is an apocalyptic number.

992738487468 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992738487468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462351521792).

992738487468 is an abundant number, since it is smaller than the sum of its proper divisors (1931964556116).

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

992738487468 is a wasteful number, since it uses less digits than its factorization.

992738487468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022772 (or 1022763 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 75.

The spelling of 992738487468 in words is "nine hundred ninety-two billion, seven hundred thirty-eight million, four hundred eighty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 127 147 156 182 196 254 273 294 364 381 508 546 588 637 762 889 1092 1274 1524 1651 1778 1911 2548 2667 3302 3556 3822 4953 5334 6223 6604 7644 9906 10668 11557 12446 18669 19812 23114 24892 34671 37338 46228 69342 74676 80899 138684 161798 242697 323596 485394 970788 1022611 2045222 3067833 4090444 6135666 7158277 12271332 13293943 14316554 21474831 26587886 28633108 39881829 42949662 50107939 53175772 79763658 85899324 93057601 100215878 129871597 150323817 159527316 186115202 200431756 259743194 279172803 300647634 372230404 389614791 519486388 558345606 601295268 651403207 779229582 909101179 1116691212 1302806414 1558459164 1688330761 1818202358 1954209621 2605612828 2727303537 3376661522 3636404716 3908419242 5064992283 5454607074 6363708253 6753323044 7816838484 10129984566 10909214148 11818315327 12727416506 19091124759 20259969132 23636630654 25454833012 35454945981 38182249518 47273261308 70909891962 76364499036 82728207289 141819783924 165456414578 248184621867 330912829156 496369243734 992738487468