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6916716144 = 2433139712697
BaseRepresentation
bin1100111000100010…
…01011011001110000
3122212001000120211000
412130101023121300
5103131134404034
63102201122000
7333255055122
oct63421133160
918761016730
106916716144
112a2a340238
121410489300
13862c95c60
1449887b212
152a7367599
hex19c44b670

6916716144 has 160 divisors (see below), whose sum is σ = 21602853440. Its totient is φ = 2106114048.

The previous prime is 6916716133. The next prime is 6916716161. The reversal of 6916716144 is 4416176196.

It is a self number, because there is not a number n which added to its sum of digits gives 6916716144.

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, 538404 + ... + 551100.

It is an arithmetic number, because the mean of its divisors is an integer number (135017834).

Almost surely, 26916716144 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 6916716144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10801426720).

6916716144 is an abundant number, since it is smaller than the sum of its proper divisors (14686137296).

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

6916716144 is a wasteful number, since it uses less digits than its factorization.

6916716144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12824 (or 12812 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 6916716144 is about 83166.7971248142. The cubic root of 6916716144 is about 1905.3144052959.

The spelling of 6916716144 in words is "six billion, nine hundred sixteen million, seven hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 97 104 108 117 144 156 194 208 216 234 291 312 351 388 432 468 582 624 702 776 873 936 1164 1261 1404 1552 1746 1872 2328 2522 2619 2808 3492 3783 4656 5044 5238 5616 6984 7566 10088 10476 11349 12697 13968 15132 20176 20952 22698 25394 30264 34047 38091 41904 45396 50788 60528 68094 76182 90792 101576 114273 136188 152364 165061 181584 203152 228546 272376 304728 330122 342819 457092 495183 544752 609456 660244 685638 914184 990366 1231609 1320488 1371276 1485549 1828368 1980732 2463218 2640976 2742552 2971098 3694827 3961464 4456647 4926436 5485104 5942196 7389654 7922928 8913294 9852872 11084481 11884392 14779308 16010917 17826588 19705744 22168962 23768784 29558616 32021834 33253443 35653176 44337924 48032751 59117232 64043668 66506886 71306352 88675848 96065502 128087336 133013772 144098253 177351696 192131004 256174672 266027544 288196506 384262008 432294759 532055088 576393012 768524016 864589518 1152786024 1729179036 2305572048 3458358072 6916716144