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21950380998 = 23771355147
BaseRepresentation
bin10100011100010110…
…000011101111000110
32002122202111220000000
4110130112003233012
5324423244142443
614030040502130
71404644105610
oct243426035706
962582456000
1021950380998
119344466147
12430717a946
1320ba79b130
1410c3345db0
158870cb8d3
hex51c583bc6

21950380998 has 128 divisors (see below), whose sum is σ = 60777507840. Its totient is φ = 5789006496.

The previous prime is 21950380987. The next prime is 21950381041. The reversal of 21950380998 is 89908305912.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370461 + ... + 425607.

It is an arithmetic number, because the mean of its divisors is an integer number (474824280).

Almost surely, 221950380998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21950380998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30388753920).

21950380998 is an abundant number, since it is smaller than the sum of its proper divisors (38827126842).

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

21950380998 is an equidigital number, since it uses as much as digits as its factorization.

21950380998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55190 (or 55172 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 21950380998 in words is "twenty-one billion, nine hundred fifty million, three hundred eighty thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 729 819 1053 1134 1458 1638 1701 2106 2187 2457 3159 3402 4374 4914 5103 6318 7371 9477 10206 14742 15309 18954 22113 28431 30618 44226 55147 56862 66339 110294 132678 165441 199017 330882 386029 398034 496323 716911 772058 992646 1158087 1433822 1488969 2150733 2316174 2977938 3474261 4301466 4466907 5018377 6452199 6948522 8933814 10036754 10422783 12904398 13400721 15055131 19356597 20845566 26801442 30110262 31268349 38713194 40202163 45165393 58069791 62536698 80404326 90330786 93805047 116139582 120606489 135496179 174209373 187610094 241212978 270992358 281415141 348418746 406488537 522628119 562830282 812977074 844245423 1045256238 1219465611 1567884357 1688490846 2438931222 3135768714 3658396833 7316793666 10975190499 21950380998