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9152380544944 = 24713291116119421
BaseRepresentation
bin1000010100101111010001…
…1001000010011110110000
31012101221220010200112222011
42011023310121002132300
52144423033404414234
631244313502252304
71633144344013630
oct205136431023660
935357803615864
109152380544944
112a0955924099a
121039961887094
135150b16a5710
14238d986b06c0
1510d11b28cb64
hex852f46427b0

9152380544944 has 160 divisors (see below), whose sum is σ = 22580675994240. Its totient is φ = 3495376281600.

The previous prime is 9152380544921. The next prime is 9152380544963. The reversal of 9152380544944 is 4494450832519.

It is a Harshad number since it is a multiple of its sum of digits (58).

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 31 ways as a sum of consecutive naturals, for example, 471252354 + ... + 471271774.

It is an arithmetic number, because the mean of its divisors is an integer number (141129224964).

Almost surely, 29152380544944 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 9152380544944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11290337997120).

9152380544944 is an abundant number, since it is smaller than the sum of its proper divisors (13428295449296).

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

9152380544944 is a wasteful number, since it uses less digits than its factorization.

9152380544944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30639 (or 30633 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 58.

The spelling of 9152380544944 in words is "nine trillion, one hundred fifty-two billion, three hundred eighty million, five hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 112 116 182 203 208 232 364 377 406 464 728 754 812 1456 1508 1624 2639 3016 3248 5278 6032 10556 11161 19421 21112 22322 38842 42224 44644 77684 78127 89288 135947 145093 155368 156254 178576 252473 271894 290186 310736 312508 323669 504946 543788 563209 580372 625016 647338 1009892 1015651 1087576 1126418 1160744 1250032 1294676 1767311 2019784 2031302 2175152 2252836 2265683 2321488 2589352 3534622 3942463 4039568 4062604 4207697 4505672 4531366 5178704 7069244 7321717 7884926 8125208 8415394 9011344 9062732 14138488 14643434 15769852 16250416 16830788 18125464 28276976 29286868 29453879 31539704 33661576 36250928 51252019 58573736 58907758 63079408 67323152 102504038 117147472 117815516 205008076 216757781 235631032 410016152 433515562 471262064 820032304 867031124 1517304467 1734062248 2817851153 3034608934 3468124496 5635702306 6069217868 6285975649 11271404612 12138435736 12571951298 19724958071 22542809224 24276871472 25143902596 39449916142 44001829543 45085618448 50287805192 78899832284 81717683437 88003659086 100575610384 157799664568 163435366874 176007318172 315599329136 326870733748 352014636344 572023784059 653741467496 704029272688 1144047568118 1307482934992 2288095136236 4576190272472 9152380544944