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9958909014 = 234196195227
BaseRepresentation
bin10010100011001100…
…01110010001010110
3221201001102222220000
421101212032101112
5130343440042024
64324113552130
7501535221105
oct112146162126
927631388800
109958909014
1142505a981a
121b1b275646
13c29331192
146a690803c
153d4492cc9
hex25198e456

9958909014 has 80 divisors (see below), whose sum is σ = 23532273600. Its totient is φ = 3139237296.

The previous prime is 9958908931. The next prime is 9958909019. The reversal of 9958909014 is 4109098599.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9958909019) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1902669 + ... + 1907895.

It is an arithmetic number, because the mean of its divisors is an integer number (294153420).

Almost surely, 29958909014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9958909014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11766136800).

9958909014 is an abundant number, since it is smaller than the sum of its proper divisors (13573364586).

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

9958909014 is a wasteful number, since it uses less digits than its factorization.

9958909014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 9958909014 is about 99794.3335766115. Note that the first 3 decimals coincide. The cubic root of 9958909014 is about 2151.4797107051.

The spelling of 9958909014 in words is "nine billion, nine hundred fifty-eight million, nine hundred nine thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 619 1026 1238 1539 1857 3078 3714 5227 5571 10454 11142 11761 15681 16713 23522 31362 33426 35283 47043 50139 70566 94086 99313 100278 105849 141129 198626 211698 282258 297939 317547 423387 595878 635094 846774 893817 952641 1787634 1905282 2681451 3235513 5362902 6471026 8044353 9706539 16088706 19413078 29119617 58239234 61474747 87358851 122949494 174717702 184424241 262076553 368848482 524153106 553272723 1106545446 1659818169 3319636338 4979454507 9958909014