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90204183313128 = 23331794621259619
BaseRepresentation
bin10100100000101001001100…
…010011011011101011101000
3102211101102202122000021202000
4110200221030103123223220
543310401131412010003
6515503121342411000
725000015516143063
oct2440511423335350
9384342678007660
1090204183313128
1126818419953435
12a14a212590a60
133b442aabc2201
14183bc975d58da
15a666401d61a3
hex520a4c4dbae8

90204183313128 has 128 divisors (see below), whose sum is σ = 265310247312000. Its totient is φ = 28298943544320.

The previous prime is 90204183313087. The next prime is 90204183313129. The reversal of 90204183313128 is 82131338140209.

It is a happy number.

90204183313128 is a `hidden beast` number, since 9 + 0 + 204 + 1 + 8 + 3 + 313 + 128 = 666.

It is not an unprimeable number, because it can be changed into a prime (90204183313129) 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, 347318503 + ... + 347578121.

It is an arithmetic number, because the mean of its divisors is an integer number (2072736307125).

Almost surely, 290204183313128 is an apocalyptic number.

It is an amenable number.

90204183313128 is an abundant number, since it is smaller than the sum of its proper divisors (175106063998872).

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

90204183313128 is a wasteful number, since it uses less digits than its factorization.

90204183313128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354272 (or 354262 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 90204183313128 in words is "ninety trillion, two hundred four billion, one hundred eighty-three million, three hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 94621 189242 259619 283863 378484 519238 567726 756968 778857 851589 1038476 1135452 1557714 1608557 1703178 2076952 2270904 2336571 2554767 3115428 3217114 3406356 4413523 4673142 4825671 5109534 6230856 6434228 6812712 7009713 8827046 9346284 9651342 10219068 12868456 13240569 14019426 14477013 17654092 18692568 19302684 20438136 26481138 28038852 28954026 35308184 38605368 39721707 43431039 52962276 56077704 57908052 79443414 86862078 105924552 115816104 119165121 158886828 173724156 238330242 317773656 347448312 476660484 953320968 24565409399 49130818798 73696228197 98261637596 147392456394 196523275192 221088684591 294784912788 417611959783 442177369182 589569825576 663266053773 835223919566 884354738364 1252835879349 1326532107546 1670447839132 1768709476728 2505671758698 2653064215092 3340895678264 3758507638047 5011343517396 5306128430184 7517015276094 10022687034792 11275522914141 15034030552188 22551045828282 30068061104376 45102091656564 90204183313128