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10019609604 = 2234672832
BaseRepresentation
bin10010101010011011…
…10001110000000100
3221212021122220110000
421111031301300010
5131010010001404
64334123001300
7503203163544
oct112515616004
927767586400
1010019609604
114281898aa4
121b37669230
13c38a94ca4
146b09c9324
153d9983339
hex255371c04

10019609604 has 135 divisors (see below), whose sum is σ = 26914238967. Its totient is φ = 3250382256.

The previous prime is 10019609563. The next prime is 10019609627. The reversal of 10019609604 is 40690691001.

The square root of 10019609604 is 100098.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 120718147 + ... + 120718229.

Almost surely, 210019609604 is an apocalyptic number.

10019609604 is the 100098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10019609604

10019609604 is an abundant number, since it is smaller than the sum of its proper divisors (16894629363).

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

10019609604 is an frugal number, since it uses more digits than its factorization.

10019609604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 10019609604 by its sum of digits (36), we get a square (360705945744 = 6005882).

10019609604 divided by its sum of digits (36) gives a square (278322489 = 166832).

Multiplying 10019609604 by its product of nonzero digits (11664), we get a square (116868726421056 = 108105842).

The spelling of 10019609604 in words is "ten billion, nineteen million, six hundred nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 83 108 134 162 166 201 249 268 324 332 402 498 603 747 804 996 1206 1494 1809 2241 2412 2988 3618 4482 4489 5427 5561 6723 6889 7236 8964 8978 10854 11122 13446 13467 13778 16683 17956 20667 21708 22244 26892 26934 27556 33366 40401 41334 50049 53868 62001 66732 80802 82668 100098 121203 124002 150147 161604 186003 200196 242406 248004 300294 363609 372006 372587 450441 461563 484812 558009 600588 727218 744012 745174 900882 923126 1116018 1117761 1384689 1454436 1490348 1801764 1846252 2232036 2235522 2769378 3353283 4154067 4471044 5538756 6706566 8308134 10059849 12462201 13413132 16616268 20119698 24924402 30179547 30924721 37386603 40239396 49848804 60359094 61849442 74773206 92774163 120718188 123698884 149546412 185548326 278322489 371096652 556644978 834967467 1113289956 1669934934 2504902401 3339869868 5009804802 10019609604