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61309596192256 = 2919409149310321
BaseRepresentation
bin11011111000010110000001…
…01100111100111000000000
322001002010210011200001020101
431330023000230330320000
531013444023111123011
6334221123433452144
715625320643051036
oct1574130054747000
9261063704601211
1061309596192256
11185982877925a5
126a62263871054
132829615aba5a9
14111d58656c556
15714c0b1be2c1
hex37c2c0b3ce00

61309596192256 has 160 divisors (see below), whose sum is σ = 129361171024800. Its totient is φ = 28948172636160.

The previous prime is 61309596192227. The next prime is 61309596192259. The reversal of 61309596192256 is 65229169590316.

It is a super-2 number, since 2×613095961922562 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61309596192259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5940271576 + ... + 5940281896.

It is an arithmetic number, because the mean of its divisors is an integer number (808507318905).

Almost surely, 261309596192256 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 61309596192256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64680585512400).

61309596192256 is an abundant number, since it is smaller than the sum of its proper divisors (68051574832544).

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

61309596192256 is a wasteful number, since it uses less digits than its factorization.

61309596192256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12260 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 64.

The spelling of 61309596192256 in words is "sixty-one trillion, three hundred nine billion, five hundred ninety-six million, one hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 409 512 608 818 1216 1493 1636 2432 2986 3272 4864 5972 6544 7771 9728 10321 11944 13088 15542 20642 23888 26176 28367 31084 41284 47776 52352 56734 62168 82568 95552 104704 113468 124336 165136 191104 196099 209408 226936 248672 330272 382208 392198 453872 497344 610637 660544 764416 784396 907744 994688 1221274 1321088 1568792 1815488 1989376 2442548 2642176 3137584 3630976 3978752 4221289 4885096 5284352 6275168 7261952 8442578 9770192 11602103 12550336 14523904 15409253 16885156 19540384 23204206 25100672 30818506 33770312 39080768 46408412 50201344 61637012 67540624 78161536 80204491 92816824 100402688 123274024 135081248 156323072 160408982 185633648 246548048 270162496 292775807 312646144 320817964 371267296 493096096 540324992 585551614 641635928 742534592 986192192 1080649984 1171103228 1283271856 1485069184 1972384384 2161299968 2342206456 2566543712 2970138368 3944768768 4684412912 5133087424 5940276736 6302384477 7889537536 9368825824 10266174848 12604768954 18737651648 20532349696 25209537908 37475303296 41064699392 50419075816 74950606592 100838151632 119745305063 149901213184 201676303264 239490610126 403352606528 478981220252 806705213056 957962440504 1613410426112 1915924881008 3226820852224 3831849762016 7663699524032 15327399048064 30654798096128 61309596192256