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361370228964 = 22317113132111867
BaseRepresentation
bin1010100001000110101…
…10000001100011100100
31021112202111211200021020
411100203112001203210
521410041234311324
6434002230051140
735052043156563
oct5204326014344
91245674750236
10361370228964
1112a290089698
125a0521a9ab0
1328100412864
14136c1997bda
159600375679
hex54235818e4

361370228964 has 96 divisors (see below), whose sum is σ = 901455682176. Its totient is φ = 112273244160.

The previous prime is 361370228963. The next prime is 361370228983. The reversal of 361370228964 is 469822073163.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (361370228963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30445759 + ... + 30457625.

It is an arithmetic number, because the mean of its divisors is an integer number (9390163356).

Almost surely, 2361370228964 is an apocalyptic number.

361370228964 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361370228964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450727841088).

361370228964 is an abundant number, since it is smaller than the sum of its proper divisors (540085453212).

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

361370228964 is a wasteful number, since it uses less digits than its factorization.

361370228964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13325 (or 13323 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 361370228964 in words is "three hundred sixty-one billion, three hundred seventy million, two hundred twenty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 204 226 339 452 678 1321 1356 1921 2642 3842 3963 5284 5763 7684 7926 11526 11867 15852 22457 23052 23734 35601 44914 47468 67371 71202 89828 134742 142404 149273 201739 269484 298546 403478 447819 597092 605217 806956 895638 1210434 1340971 1791276 2420868 2537641 2681942 4022913 5075282 5363884 7612923 8045826 10150564 15225846 15676307 16091652 22796507 30451692 31352614 45593014 47028921 62705228 68389521 91186028 94057842 136779042 188115684 266497219 273558084 532994438 799491657 1065988876 1598983314 1771422691 3197966628 3542845382 5314268073 7085690764 10628536146 21257072292 30114185747 60228371494 90342557241 120456742988 180685114482 361370228964