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77346369156 = 22377916077253
BaseRepresentation
bin100100000001000110…
…0111110111010000100
321101122101211122211010
41020002030332322010
52231401132303111
655311001042220
75405500201350
oct1100214767204
9241571748733
1077346369156
112a891010a41
1212ba7186370
1373a8434c54
143a5a576460
15202a547aa6
hex120233ee84

77346369156 has 96 divisors (see below), whose sum is σ = 209026621440. Its totient is φ = 21802644864.

The previous prime is 77346369109. The next prime is 77346369173. The reversal of 77346369156 is 65196364377.

It is a junction number, because it is equal to n+sod(n) for n = 77346369096 and 77346369105.

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, 10660426 + ... + 10667678.

It is an arithmetic number, because the mean of its divisors is an integer number (2177360640).

Almost surely, 277346369156 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 77346369156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104513310720).

77346369156 is an abundant number, since it is smaller than the sum of its proper divisors (131680252284).

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

77346369156 is a wasteful number, since it uses less digits than its factorization.

77346369156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8953 (or 8951 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 57.

The spelling of 77346369156 in words is "seventy-seven billion, three hundred forty-six million, three hundred sixty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1607 1659 2212 3214 3318 4821 6428 6636 7253 9642 11249 14506 19284 21759 22498 29012 33747 43518 44996 50771 67494 87036 101542 126953 134988 152313 203084 253906 304626 380859 507812 572987 609252 761718 888671 1145974 1523436 1718961 1777342 2291948 2666013 3437922 3554684 4010909 5332026 6875844 8021818 10664052 11655571 12032727 16043636 23311142 24065454 34966713 46622284 48130908 69933426 81588997 139866852 163177994 244766991 326355988 489533982 920790109 979067964 1841580218 2762370327 3683160436 5524740654 6445530763 11049481308 12891061526 19336592289 25782123052 38673184578 77346369156