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10997092872 = 2333177142181
BaseRepresentation
bin10100011110111101…
…00101001000001000
31001101101222012102000
422033132211020020
5140010223432442
65015121511000
7536342514153
oct121736451010
931341865360
1010997092872
114733632707
12216aaa2460
13106344a35c
14764754c9a
154456b7d4c
hex28f7a5208

10997092872 has 128 divisors (see below), whose sum is σ = 32800723200. Its totient is φ = 3401395200.

The previous prime is 10997092837. The next prime is 10997092877. The reversal of 10997092872 is 27829079901.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10997092877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239622 + ... + 281802.

It is an arithmetic number, because the mean of its divisors is an integer number (256255650).

Almost surely, 210997092872 is an apocalyptic number.

10997092872 is a gapful number since it is divisible by the number (12) 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 10997092872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400361600).

10997092872 is an abundant number, since it is smaller than the sum of its proper divisors (21803630328).

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

10997092872 is a wasteful number, since it uses less digits than its factorization.

10997092872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42284 (or 42274 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 10997092872 in words is "ten billion, nine hundred ninety-seven million, ninety-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 71 72 102 108 136 142 153 204 213 216 284 306 408 426 459 568 612 639 852 918 1207 1224 1278 1704 1836 1917 2414 2556 3621 3672 3834 4828 5112 7242 7668 9656 10863 14484 15336 21726 28968 32589 42181 43452 65178 84362 86904 126543 130356 168724 253086 260712 337448 379629 506172 717077 759258 1012344 1138887 1434154 1518516 2151231 2277774 2868308 2994851 3037032 4302462 4555548 5736616 5989702 6453693 8604924 8984553 9111096 11979404 12907386 17209848 17969106 19361079 23958808 25814772 26953659 35938212 38722158 50912467 51629544 53907318 71876424 77444316 80860977 101824934 107814636 152737401 154888632 161721954 203649868 215629272 305474802 323443908 407299736 458212203 610949604 646887816 916424406 1221899208 1374636609 1832848812 2749273218 3665697624 5498546436 10997092872