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79962869302416 = 2432353221112
BaseRepresentation
bin10010001011100111001110…
…011010111000010010010000
3101111010101010211220011002100
4102023213032122320102100
540440102424020134131
6442022233544520400
722562061305314602
oct2213471632702220
9344111124804070
1079962869302416
112352a076103511
128b7540b180100
13358060a393049
1415a631b4cb172
1593a03ecca7e6
hex48b9ce6b8490

79962869302416 has 135 divisors (see below), whose sum is σ = 224527082680537. Its totient is φ = 26566191252480.

The previous prime is 79962869302411. The next prime is 79962869302549. The reversal of 79962869302416 is 61420396826997.

The square root of 79962869302416 is 8942196.

It is a perfect power (a square), and thus also a powerful number.

79962869302416 is a `hidden beast` number, since 7 + 99 + 62 + 8 + 69 + 3 + 0 + 2 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32486580090000 + 47476289212416 = 5699700^2 + 6890304^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79962869302411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37879141201 + ... + 37879143311.

Almost surely, 279962869302416 is an apocalyptic number.

79962869302416 is the 8942196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79962869302416

79962869302416 is an abundant number, since it is smaller than the sum of its proper divisors (144564213378121).

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

79962869302416 is an frugal number, since it uses more digits than its factorization.

79962869302416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 79962869302416 in words is "seventy-nine trillion, nine hundred sixty-two billion, eight hundred sixty-nine million, three hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 353 706 1059 1412 2111 2118 2824 3177 4222 4236 5648 6333 6354 8444 8472 12666 12708 16888 16944 18999 25332 25416 33776 37998 50664 50832 75996 101328 124609 151992 249218 303984 373827 498436 745183 747654 996872 1121481 1490366 1495308 1993744 2235549 2242962 2980732 2990616 4456321 4471098 4485924 5961464 5981232 6706647 8912642 8942196 8971848 11922928 13368963 13413294 17825284 17884392 17943696 26737926 26826588 35650568 35768784 40106889 53475852 53653176 71301136 80213778 106951704 107306352 160427556 213903408 263049599 320855112 526099198 641710224 789148797 1052198396 1573081313 1578297594 2104396792 2367446391 3146162626 3156595188 4208793584 4719243939 4734892782 6292325252 6313190376 9438487878 9469785564 12584650504 12626380752 14157731817 18876975756 18939571128 25169301008 28315463634 37753951512 37879142256 56630927268 75507903024 113261854536 226523709072 555297703489 1110595406978 1665893110467 2221190813956 3331786220934 4442381627912 4997679331401 6663572441868 8884763255824 9995358662802 13327144883736 19990717325604 26654289767472 39981434651208 79962869302416