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94012144996 = 22721141812
BaseRepresentation
bin101011110001110001…
…1110111110101100100
322222122212102210101011
41113203203313311210
53020014102114441
6111104422312004
76535465022200
oct1274343676544
9288585383334
1094012144996
1136963450000
1216278588604
138b33106983
14479bad3b00
1526a3700581
hex15e38f7d64

94012144996 has 135 divisors (see below), whose sum is σ = 211688258985. Its totient is φ = 36425743200.

The previous prime is 94012144969. The next prime is 94012144999. The reversal of 94012144996 is 69944121049.

The square root of 94012144996 is 306614.

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

It can be written as a sum of positive squares in only one way, i.e., 1035938596 + 92976206400 = 32186^2 + 304920^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (94012144999) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 519404026 + ... + 519404206.

Almost surely, 294012144996 is an apocalyptic number.

94012144996 is the 306614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94012144996

94012144996 is an abundant number, since it is smaller than the sum of its proper divisors (117676113989).

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

94012144996 is an equidigital number, since it uses as much as digits as its factorization.

94012144996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

Multiplying 94012144996 by its sum of digits (49), we get a square (4606595104804 = 21462982).

94012144996 divided by its sum of digits (49) gives a square (1918615204 = 438022).

The spelling of 94012144996 in words is "ninety-four billion, twelve million, one hundred forty-four thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 181 196 242 308 362 484 539 724 847 1078 1267 1331 1694 1991 2156 2534 2662 3388 3982 5068 5324 5929 7964 8869 9317 11858 13937 14641 17738 18634 21901 23716 27874 29282 32761 35476 37268 43802 55748 58564 65219 65522 87604 97559 102487 130438 131044 153307 195118 204974 229327 240911 260876 306614 360371 390236 409948 458654 481822 613228 717409 720742 917308 963644 1073149 1434818 1441484 1605289 1686377 2146298 2522597 2650021 2869636 3210578 3372754 3964081 4292596 5045194 5300042 6421156 6745508 7928162 10090388 10600084 11804639 15856324 17658179 18550147 23609278 27748567 35316358 37100294 43604891 47218556 55497134 70632716 74200588 87209782 110994268 129851029 174419564 194239969 259702058 305234237 388479938 479653801 519404116 610468474 776959876 959307602 1220936948 1918615204 2136639659 3357576607 4273279318 6715153214 8546558636 13430306428 23503036249 47006072498 94012144996