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90470594250 = 2335323515701
BaseRepresentation
bin101010001000001110…
…1111011011011001010
322122112001101101002000
41110100131323123022
52440240433004000
6105321150451430
76351642235311
oct1242035733312
9278461341060
1090470594250
1135406323563
121564a503b76
1386ba47ca0a
1445435db278
152547837000
hex151077b6ca

90470594250 has 128 divisors (see below), whose sum is σ = 251055866880. Its totient is φ = 24111000000.

The previous prime is 90470594239. The next prime is 90470594251. The reversal of 90470594250 is 5249507409.

90470594250 is a `hidden beast` number, since 9 + 0 + 4 + 7 + 0 + 594 + 2 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 90470594196 and 90470594205.

It is not an unprimeable number, because it can be changed into a prime (90470594251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15866400 + ... + 15872100.

It is an arithmetic number, because the mean of its divisors is an integer number (1961373960).

Almost surely, 290470594250 is an apocalyptic number.

90470594250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90470594250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125527933440).

90470594250 is an abundant number, since it is smaller than the sum of its proper divisors (160585272630).

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

90470594250 is a wasteful number, since it uses less digits than its factorization.

90470594250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 90470594250 in words is "ninety billion, four hundred seventy million, five hundred ninety-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 675 750 1125 1350 2250 2351 3375 4702 5701 6750 7053 11402 11755 14106 17103 21159 23510 28505 34206 35265 42318 51309 57010 58775 63477 70530 85515 102618 105795 117550 126954 142525 153927 171030 176325 211590 256545 285050 293875 307854 317385 352650 427575 513090 528975 587750 634770 712625 769635 855150 881625 1057950 1282725 1425250 1539270 1586925 1763250 2137875 2565450 2644875 3173850 3848175 4275750 5289750 6413625 7696350 7934625 12827250 13403051 15869250 19240875 26806102 38481750 40209153 67015255 80418306 120627459 134030510 201045765 241254918 335076275 361882377 402091530 603137295 670152550 723764754 1005228825 1206274590 1675381375 1809411885 2010457650 3015686475 3350762750 3618823770 5026144125 6031372950 9047059425 10052288250 15078432375 18094118850 30156864750 45235297125 90470594250