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51152220340 = 22513223798329
BaseRepresentation
bin101111101000111010…
…001111000010110100
311220000212221000210021
4233220322033002310
51314224432022330
635255441334524
73460412461504
oct575072170264
9156025830707
1051152220340
111a76a105271
129ab6937444
134a926a5600
142693783a04
1514e5ae367a
hexbe8e8f0b4

51152220340 has 144 divisors (see below), whose sum is σ = 122926809600. Its totient is φ = 17834978304.

The previous prime is 51152220319. The next prime is 51152220341. The reversal of 51152220340 is 4302225115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51152220341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6137296 + ... + 6145624.

It is an arithmetic number, because the mean of its divisors is an integer number (853658400).

Almost surely, 251152220340 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 51152220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61463404800).

51152220340 is an abundant number, since it is smaller than the sum of its proper divisors (71774589260).

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

51152220340 is a wasteful number, since it uses less digits than its factorization.

51152220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8466 (or 8451 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 51152220340 its reverse (4302225115), we get a palindrome (55454445455).

The spelling of 51152220340 in words is "fifty-one billion, one hundred fifty-two million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 79 92 115 130 158 169 230 260 299 316 338 395 460 598 676 790 845 1027 1196 1495 1580 1690 1817 2054 2990 3380 3634 3887 4108 5135 5980 7268 7774 8329 9085 10270 13351 15548 16658 18170 19435 20540 23621 26702 33316 36340 38870 41645 47242 53404 66755 77740 83290 94484 108277 118105 133510 166580 191567 216554 236210 267020 307073 383134 433108 472420 541385 614146 657991 766268 957835 1082770 1228292 1315982 1407601 1535365 1915670 2165540 2490371 2631964 2815202 3070730 3289955 3831340 4980742 5630404 6141460 6579910 7038005 8553883 9961484 12451855 13159820 14076010 15133793 17107766 24903710 28152020 30267586 32374823 34215532 42769415 49807420 60535172 64749646 75668965 85538830 111200479 129499292 151337930 161874115 171077660 196739309 222400958 302675860 323748230 393478618 444801916 556002395 647496460 786957236 983696545 1112004790 1967393090 2224009580 2557611017 3934786180 5115222034 10230444068 12788055085 25576110170 51152220340