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10003673682 = 23223432692089
BaseRepresentation
bin10010101000100001…
…11111001001010010
3221211011200021110200
421110100333021102
5130441420024212
64332353240030
7502620552252
oct112420771122
927734607420
1010003673682
1142738a4112
121b32263016
13c356a5652
146ac83b962
153d83866dc
hex25443f252

10003673682 has 96 divisors (see below), whose sum is σ = 23240131200. Its totient is φ = 3102333696.

The previous prime is 10003673677. The next prime is 10003673741. The reversal of 10003673682 is 28637630001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4787694 + ... + 4789782.

It is an arithmetic number, because the mean of its divisors is an integer number (242084700).

Almost surely, 210003673682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003673682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11620065600).

10003673682 is an abundant number, since it is smaller than the sum of its proper divisors (13236457518).

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

10003673682 is a wasteful number, since it uses less digits than its factorization.

10003673682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10003673682 in words is "ten billion, three million, six hundred seventy-three thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 269 387 414 538 774 807 989 1614 1978 2089 2421 2967 4178 4842 5934 6187 6267 8901 11567 12374 12534 17802 18561 18801 23134 34701 37122 37602 48047 55683 69402 89827 96094 104103 111366 144141 179654 208206 266041 269481 288282 432423 532082 538962 561941 798123 808443 864846 1123882 1596246 1616886 1685823 2066021 2394369 3371646 4132042 4788738 5057469 6198063 10114938 12396126 12924643 18594189 24163463 25849286 37188378 38773929 48326926 72490389 77547858 116321787 144980778 217471167 232643574 434942334 555759649 1111519298 1667278947 3334557894 5001836841 10003673682