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361897689672 = 2335383486061
BaseRepresentation
bin1010100010000101100…
…10001000001001001000
31021121010021100110100000
411101002302020021020
521412131302032142
6434130431243000
735101106415111
oct5210262101110
91247107313300
10361897689672
1112a5308a1732
125a17a979460
1328185790b9c
1413731a5b208
15963181514c
hex5442c88248

361897689672 has 96 divisors (see below), whose sum is σ = 1019097031680. Its totient is φ = 120317348160.

The previous prime is 361897689667. The next prime is 361897689697. The reversal of 361897689672 is 276986798163.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 361897689672.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501522 + ... + 987582.

It is an arithmetic number, because the mean of its divisors is an integer number (10615594080).

Almost surely, 2361897689672 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 361897689672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509548515840).

361897689672 is an abundant number, since it is smaller than the sum of its proper divisors (657199342008).

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

361897689672 is a wasteful number, since it uses less digits than its factorization.

361897689672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486465 (or 486449 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 361897689672 in words is "three hundred sixty-one billion, eight hundred ninety-seven million, six hundred eighty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 383 486 648 766 972 1149 1532 1944 2298 3064 3447 4596 6894 9192 10341 13788 20682 27576 31023 41364 62046 82728 93069 124092 186138 248184 372276 486061 744552 972122 1458183 1944244 2916366 3888488 4374549 5832732 8749098 11665464 13123647 17498196 26247294 34996392 39370941 52494588 78741882 104989176 118112823 157483764 186161363 236225646 314967528 372322726 472451292 558484089 744645452 944902584 1116968178 1489290904 1675452267 2233936356 3350904534 4467872712 5026356801 6701809068 10052713602 13403618136 15079070403 20105427204 30158140806 40210854408 45237211209 60316281612 90474422418 120632563224 180948844836 361897689672