Search a number
-
+
76238940996 = 223217227072
BaseRepresentation
bin100011100000000110…
…0011110101101000100
321021210020000110222100
41013000030132231010
52222114132102441
655005041032100
75336162210001
oct1070014365504
9237706013870
1076238940996
112a372992859
1212938325630
13725cb8320a
1439934628a8
151eb31e5cb6
hex11c031eb44

76238940996 has 81 divisors (see below), whose sum is σ = 204793770909. Its totient is φ = 23909263488.

The previous prime is 76238940983. The next prime is 76238940997. The reversal of 76238940996 is 69904983267.

The square root of 76238940996 is 276114.

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

76238940996 is a `hidden beast` number, since 7 + 62 + 3 + 89 + 409 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59355576900 + 16883364096 = 243630^2 + 129936^2 .

It is a super-2 number, since 2×762389409962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76238940997) 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, 28162275 + ... + 28164981.

Almost surely, 276238940996 is an apocalyptic number.

76238940996 is the 276114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76238940996

76238940996 is an abundant number, since it is smaller than the sum of its proper divisors (128554829913).

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

76238940996 is a wasteful number, since it uses less digits than its factorization.

76238940996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 76238940996 in words is "seventy-six billion, two hundred thirty-eight million, nine hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 2707 3468 5202 5414 8121 10404 10828 16242 24363 32484 46019 48726 92038 97452 138057 184076 276114 414171 552228 782323 828342 1564646 1656684 2346969 3129292 4693938 7040907 7327849 9387876 14081814 14655698 21983547 28163628 29311396 43967094 65950641 87934188 124573433 131901282 249146866 263802564 373720299 498293732 747440598 1121160897 1494881196 2117748361 2242321794 4235496722 4484643588 6353245083 8470993444 12706490166 19059735249 25412980332 38119470498 76238940996