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5537610090 = 2335174328057
BaseRepresentation
bin1010010100001000…
…10011100101101010
3112021220222201222000
411022010103211222
542320112010330
62313254111430
7254140623555
oct51204234552
915256881860
105537610090
112391922471
1210a664b576
136a335177c
143a764769c
1522624d560
hex14a11396a

5537610090 has 128 divisors (see below), whose sum is σ = 15999793920. Its totient is φ = 1357461504.

The previous prime is 5537610061. The next prime is 5537610119. The reversal of 5537610090 is 900167355.

It is a happy number.

5537610090 is a `hidden beast` number, since 5 + 5 + 37 + 610 + 0 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5537610061) and next prime (5537610119).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183342 + ... + 211398.

It is an arithmetic number, because the mean of its divisors is an integer number (124998390).

Almost surely, 25537610090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5537610090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999896960).

5537610090 is an abundant number, since it is smaller than the sum of its proper divisors (10462183830).

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

5537610090 is a wasteful number, since it uses less digits than its factorization.

5537610090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28133 (or 28127 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5537610090 is about 74415.1200361862. The cubic root of 5537610090 is about 1769.1885680269.

The spelling of 5537610090 in words is "five billion, five hundred thirty-seven million, six hundred ten thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 43 45 51 54 85 86 90 102 129 135 153 170 215 255 258 270 306 387 430 459 510 645 731 765 774 918 1161 1290 1462 1530 1935 2193 2295 2322 3655 3870 4386 4590 5805 6579 7310 10965 11610 13158 19737 21930 28057 32895 39474 56114 65790 84171 98685 140285 168342 197370 252513 280570 420855 476969 505026 757539 841710 953938 1206451 1262565 1430907 1515078 2384845 2412902 2525130 2861814 3619353 3787695 4292721 4769690 6032255 7154535 7238706 7575390 8585442 10858059 12064510 12878163 14309070 18096765 20509667 21463605 21716118 25756326 32574177 36193530 41019334 42927210 54290295 61529001 64390815 65148354 102548335 108580590 123058002 128781630 162870885 184587003 205096670 307645005 325741770 369174006 553761009 615290010 922935015 1107522018 1845870030 2768805045 5537610090