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6623112716672 = 272331617117619
BaseRepresentation
bin110000001100001000001…
…0001111110000110000000
3212110011102010001021011212
41200120100101332012000
51332003113323413142
622030341015025252
71252334623133624
oct140302021760600
925404363037155
106623112716672
112123934512091
128ab72b06b228
133907315231ca
1418c7bb903184
15b7437e7cd82
hex6061047e180

6623112716672 has 128 divisors (see below), whose sum is σ = 14235445094400. Its totient is φ = 3060401541120.

The previous prime is 6623112716659. The next prime is 6623112716699. The reversal of 6623112716672 is 2766172113266.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6623112716672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56251079 + ... + 56368697.

It is an arithmetic number, because the mean of its divisors is an integer number (111214414800).

Almost surely, 26623112716672 is an apocalyptic number.

6623112716672 is a gapful number since it is divisible by the number (62) 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 6623112716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117722547200).

6623112716672 is an abundant number, since it is smaller than the sum of its proper divisors (7612332377728).

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

6623112716672 is a wasteful number, since it uses less digits than its factorization.

6623112716672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118304 (or 118292 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 50.

The spelling of 6623112716672 in words is "six trillion, six hundred twenty-three billion, one hundred twelve million, seven hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 368 496 617 713 736 992 1234 1426 1472 1984 2468 2852 2944 3968 4936 5704 9872 11408 14191 19127 19744 22816 28382 38254 39488 45632 56764 76508 78976 91264 113528 117619 153016 227056 235238 306032 439921 454112 470476 612064 879842 908224 940952 1224128 1759684 1816448 1881904 2448256 2705237 3519368 3646189 3763808 5410474 7038736 7292378 7527616 10820948 14077472 14584756 15055232 21641896 28154944 29169512 43283792 56309888 58339024 72570923 83862347 86567584 116678048 145141846 167724694 173135168 233356096 290283692 335449388 346270336 466712192 580567384 670898776 1161134768 1341797552 1669131229 2249698613 2322269536 2683595104 3338262458 4499397226 4644539072 5367190208 6676524916 8998794452 9289078144 10734380416 13353049832 17997588904 26706099664 35995177808 51743068099 53412199328 71990355616 103486136198 106824398656 143980711232 206972272396 213648797312 287961422464 413944544792 827889089584 1655778179168 3311556358336 6623112716672