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10083007158 = 2372979104789
BaseRepresentation
bin10010110001111111…
…00111101010110110
3222000200221211112120
421120333213222312
5131122222212113
64344305500410
7504603101220
oct113077475266
928020854476
1010083007158
11430465a574
121b54941706
13c48c61533
146b91ad410
153e0307a23
hex258fe7ab6

10083007158 has 64 divisors (see below), whose sum is σ = 24143616000. Its totient is φ = 2746283904.

The previous prime is 10083007147. The next prime is 10083007169. The reversal of 10083007158 is 85170038001.

It is an interprime number because it is at equal distance from previous prime (10083007147) and next prime (10083007169).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43828 + ... + 148616.

It is an arithmetic number, because the mean of its divisors is an integer number (377244000).

Almost surely, 210083007158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10083007158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12071808000).

10083007158 is an abundant number, since it is smaller than the sum of its proper divisors (14060608842).

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

10083007158 is a wasteful number, since it uses less digits than its factorization.

10083007158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104909.

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10083007158 in words is "ten billion, eighty-three million, seven thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 29 42 58 79 87 158 174 203 237 406 474 553 609 1106 1218 1659 2291 3318 4582 6873 13746 16037 32074 48111 96222 104789 209578 314367 628734 733523 1467046 2200569 3038881 4401138 6077762 8278331 9116643 16556662 18233286 21272167 24834993 42544334 49669986 57948317 63816501 115896634 127633002 173844951 240071599 347689902 480143198 720214797 1440429594 1680501193 3361002386 5041503579 10083007158