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79135044140944 = 24112181211172
BaseRepresentation
bin10001111111100100010000…
…001100011111111110010000
3101101012020101021210202022201
4101333210100030133332100
540333022032300002234
6440150045402412544
722445214110456041
oct2177442014377620
9341166337722281
1079135044140944
112323aa9040a100
128a60a9a201154
1335205307b33ac
1415782298c88c8
1592373dcab314
hex47f91031ff90

79135044140944 has 135 divisors (see below), whose sum is σ = 169617948231123. Its totient is φ = 35739717868800.

The previous prime is 79135044140917. The next prime is 79135044141007. The reversal of 79135044140944 is 44904144053197.

The square root of 79135044140944 is 8895788.

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

It can be written as a sum of positive squares in 4 ways, for example, as 71439346752400 + 7695697388544 = 8452180^2 + 2774112^2 .

It is a super-2 number, since 2×791350441409442 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70846055074 + ... + 70846056190.

Almost surely, 279135044140944 is an apocalyptic number.

79135044140944 is the 8895788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79135044140944

79135044140944 is an abundant number, since it is smaller than the sum of its proper divisors (90482904090179).

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

79135044140944 is an equidigital number, since it uses as much as digits as its factorization.

79135044140944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 79135044140944 in words is "seventy-nine trillion, one hundred thirty-five billion, forty-four million, one hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 181 242 362 484 724 968 1117 1448 1936 1991 2234 2896 3982 4468 7964 8936 12287 15928 17872 21901 24574 31856 32761 43802 49148 65522 87604 98296 131044 135157 175208 196592 202177 262088 270314 350416 360371 404354 524176 540628 720742 808708 1081256 1247689 1441484 1617416 2162512 2223947 2495378 2882968 3234832 3964081 4447894 4990756 5765936 7928162 8895788 9981512 13724579 15856324 17791576 19963024 24463417 27449158 31712648 35583152 36594037 48926834 54898316 63425296 73188074 97853668 109796632 146376148 150970369 195707336 219593264 225831709 292752296 301940738 391414672 402534407 451663418 585504592 603881476 805068814 903326836 1207762952 1610137628 1806653672 2415525904 2484148799 3220275256 3613307344 4427878477 4968297598 6440550512 8855756954 9936595196 17711513908 19873190392 27325636789 35423027816 39746380784 40875539329 54651273578 70846055632 81751078658 109302547156 163502157316 218605094312 327004314632 437210188624 449630932619 654008629264 899261865238 1798523730476 3597047460952 4945940258809 7194094921904 9891880517618 19783761035236 39567522070472 79135044140944