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6416354344416 = 253731489614893
BaseRepresentation
bin101110101011110110010…
…0001010111110111100000
3211201101201202200200211220
41131113230201113313200
51320111143203010131
621351344341335040
71231365146022462
oct135275441276740
924641652620756
106416354344416
112054184831875
12877648107480
133770a0c9bac3
141827a6002132
15b1d8651ce96
hex5d5ec857de0

6416354344416 has 96 divisors (see below), whose sum is σ = 17085149534880. Its totient is φ = 2108066217984.

The previous prime is 6416354344403. The next prime is 6416354344423. The reversal of 6416354344416 is 6144434536146.

It is a tau number, because it is divible by the number of its divisors (96).

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, 10127466 + ... + 10742358.

It is an arithmetic number, because the mean of its divisors is an integer number (177970307655).

Almost surely, 26416354344416 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 6416354344416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542574767440).

6416354344416 is an abundant number, since it is smaller than the sum of its proper divisors (10668795190464).

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

6416354344416 is a wasteful number, since it uses less digits than its factorization.

6416354344416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616468 (or 616460 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 51.

The spelling of 6416354344416 in words is "six trillion, four hundred sixteen billion, three hundred fifty-four million, three hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1489 1752 2336 2978 3504 4467 5956 7008 8934 11912 17868 23824 35736 47648 71472 108697 142944 217394 326091 434788 614893 652182 869576 1229786 1304364 1739152 1844679 2459572 2608728 3478304 3689358 4919144 5217456 7378716 9838288 10434912 14757432 19676576 29514864 44887189 59029728 89774378 134661567 179548756 269323134 359097512 538646268 718195024 915575677 1077292536 1436390048 1831151354 2154585072 2746727031 3662302708 4309170144 5493454062 7324605416 10986908124 14649210832 21973816248 29298421664 43947632496 66837024421 87895264992 133674048842 200511073263 267348097684 401022146526 534696195368 802044293052 1069392390736 1604088586104 2138784781472 3208177172208 6416354344416