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110993864448 = 2834713123473
BaseRepresentation
bin110011101011110111…
…1111111011100000000
3101121111100112112002110
41213113233333130000
53304303412130243
6122553451415320
711006350165305
oct1472757773400
9347440475073
10110993864448
1143088163195
1219617754540
13a60b39948c
14552d1b50ac
152d494b5e33
hex19d7bff700

110993864448 has 144 divisors (see below), whose sum is σ = 304006703616. Its totient is φ = 35932815360.

The previous prime is 110993864431. The next prime is 110993864459. The reversal of 110993864448 is 844468399011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4716840 + ... + 4740312.

It is an arithmetic number, because the mean of its divisors is an integer number (2111157664).

Almost surely, 2110993864448 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 110993864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152003351808).

110993864448 is an abundant number, since it is smaller than the sum of its proper divisors (193012839168).

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

110993864448 is a wasteful number, since it uses less digits than its factorization.

110993864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23670 (or 23656 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 110993864448 in words is "one hundred ten billion, nine hundred ninety-three million, eight hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 131 141 188 192 256 262 282 376 384 393 524 564 752 768 786 1048 1128 1504 1572 2096 2256 3008 3144 4192 4512 6016 6157 6288 8384 9024 12032 12314 12576 16768 18048 18471 23473 24628 25152 33536 36096 36942 46946 49256 50304 70419 73884 93892 98512 100608 140838 147768 187784 197024 281676 295536 375568 394048 563352 591072 751136 788096 1103231 1126704 1182144 1502272 1576192 2206462 2253408 2364288 3004544 3074963 3309693 4412924 4506816 4728576 6009088 6149926 6619386 8825848 9013632 9224889 12299852 13238772 17651696 18027264 18449778 24599704 26477544 35303392 36899556 49199408 52955088 70606784 73799112 98398816 105910176 141213568 144523261 147598224 196797632 211820352 282427136 289046522 295196448 393595264 423640704 433569783 578093044 590392896 787190528 847281408 867139566 1156186088 1180785792 1734279132 2312372176 2361571584 3468558264 4624744352 6937116528 9249488704 13874233056 18498977408 27748466112 36997954816 55496932224 110993864448