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4312774456356 = 22329611993101939
BaseRepresentation
bin111110110000100101011…
…000111011010000100100
3120021022000200000100102110
4332300211120323100210
51031130030230100411
613101132232041020
7623405400010452
oct76604530732044
916238020010373
104312774456356
111413045824013
12597a17533170
1325390136a252
1410ca4cc999d2
15772b9db82a6
hex3ec2563b424

4312774456356 has 96 divisors (see below), whose sum is σ = 10586216188800. Its totient is φ = 1364566533120.

The previous prime is 4312774456337. The next prime is 4312774456373. The reversal of 4312774456356 is 6536544772134.

It is a happy number.

It is a super-2 number, since 2×43127744563562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4312774456296 and 4312774456305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42256435 + ... + 42358373.

It is an arithmetic number, because the mean of its divisors is an integer number (110273085300).

Almost surely, 24312774456356 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 4312774456356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293108094400).

4312774456356 is an abundant number, since it is smaller than the sum of its proper divisors (6273441732444).

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

4312774456356 is a wasteful number, since it uses less digits than its factorization.

4312774456356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104029 (or 104027 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 57.

The spelling of 4312774456356 in words is "four trillion, three hundred twelve billion, seven hundred seventy-four million, four hundred fifty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 732 1769 1993 3538 3986 5307 5979 7076 7972 10614 11958 21228 23916 57797 101939 115594 121573 173391 203878 231188 243146 305817 346782 364719 407756 486292 611634 693564 729438 1223268 1458876 2956231 3525617 5912462 6218279 7051234 8868693 10576851 11824924 12436558 14102468 17737386 18654837 21153702 24873116 35474772 37309674 42307404 74619348 180330091 203164427 360660182 406328854 540990273 609493281 721320364 812657708 1081980546 1218986562 2163961092 2437973124 5891768383 11783536766 12393030047 17675305149 23567073532 24786060094 35350610298 37179090141 49572120188 70701220596 74358180282 148716360564 359397871363 718795742726 1078193614089 1437591485452 2156387228178 4312774456356