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1116307663344 = 24333186396589
BaseRepresentation
bin10000001111101001000…
…111110010100111110000
310221201101101210220022000
4100033221013302213300
5121242144230211334
62212454043214000
7143436100402356
oct20175107624760
93851341726260
101116307663344
113a0472634915
12160421217300
1381362513403
143c05b2457d6
151e0874bb299
hex103e91f29f0

1116307663344 has 160 divisors (see below), whose sum is σ = 3311445196800. Its totient is φ = 359678257920.

The previous prime is 1116307663343. The next prime is 1116307663349. The reversal of 1116307663344 is 4433667036111.

It is a happy number.

1116307663344 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 3 + 0 + 7 + 6 + 633 + 4 + 4 = 666.

It is a super-2 number, since 2×11163076633442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1116307663344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116307663343) 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, 11509002 + ... + 11605590.

It is an arithmetic number, because the mean of its divisors is an integer number (20696532480).

Almost surely, 21116307663344 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 1116307663344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655722598400).

1116307663344 is an abundant number, since it is smaller than the sum of its proper divisors (2195137533456).

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

1116307663344 is a wasteful number, since it uses less digits than its factorization.

1116307663344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97500 (or 97488 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1116307663344 in words is "one trillion, one hundred sixteen billion, three hundred seven million, six hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 863 1116 1488 1674 1726 2232 2589 3348 3452 4464 5178 6696 6904 7767 10356 13392 13808 15534 20712 23301 26753 31068 41424 46602 53506 62136 80259 93204 96589 107012 124272 160518 186408 193178 214024 240777 289767 321036 372816 386356 428048 481554 579534 642072 722331 772712 869301 963108 1159068 1284144 1444662 1545424 1738602 1926216 2318136 2607903 2889324 2994259 3477204 3852432 4636272 5215806 5778648 5988518 6954408 8982777 10431612 11557296 11977036 13908816 17965554 20863224 23954072 26948331 35931108 41726448 47908144 53896662 71862216 80844993 83356307 107793324 143724432 161689986 166712614 215586648 250068921 323379972 333425228 431173296 500137842 646759944 666850456 750206763 1000275684 1293519888 1333700912 1500413526 2000551368 2250620289 2584045517 3000827052 4001102736 4501240578 5168091034 6001654104 7752136551 9002481156 10336182068 12003308208 15504273102 18004962312 20672364136 23256409653 31008546204 36009924624 41344728272 46512819306 62017092408 69769228959 93025638612 124034184816 139538457918 186051277224 279076915836 372102554448 558153831672 1116307663344