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11442817464 = 23313313833089
BaseRepresentation
bin10101010100000101…
…11000100110111000
31002112110200100121020
422222002320212320
5141413330124324
65131243142440
7553364225601
oct125202704670
932473610536
1011442817464
114942199141
122274214a20
1311048ab010
147a7a1cda8
1546e8ae679
hex2aa0b89b8

11442817464 has 128 divisors (see below), whose sum is σ = 31894732800. Its totient is φ = 3397294080.

The previous prime is 11442817427. The next prime is 11442817471. The reversal of 11442817464 is 46471824411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3702832 + ... + 3705920.

It is an arithmetic number, because the mean of its divisors is an integer number (249177600).

Almost surely, 211442817464 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 11442817464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15947366400).

11442817464 is an abundant number, since it is smaller than the sum of its proper divisors (20451915336).

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

11442817464 is a wasteful number, since it uses less digits than its factorization.

11442817464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3521 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The spelling of 11442817464 in words is "eleven billion, four hundred forty-two million, eight hundred seventeen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 383 403 744 766 806 1149 1209 1532 1612 2298 2418 3064 3089 3224 4596 4836 4979 6178 9192 9267 9672 9958 11873 12356 14937 18534 19916 23746 24712 29874 35619 37068 39832 40157 47492 59748 71238 74136 80314 94984 95759 119496 120471 142476 154349 160628 191518 240942 284952 287277 308698 321256 383036 463047 481884 574554 617396 766072 926094 963768 1149108 1183087 1234792 1244867 1852188 2298216 2366174 2489734 3549261 3704376 3734601 4732348 4979468 7098522 7469202 9464696 9958936 14197044 14938404 15380131 28394088 29876808 30760262 36675697 46140393 61520524 73351394 92280786 110027091 123041048 146702788 184561572 220054182 293405576 369123144 440108364 476784061 880216728 953568122 1430352183 1907136244 2860704366 3814272488 5721408732 11442817464