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10204865904 = 2431036733067
BaseRepresentation
bin10011000000100000…
…11110010101110000
3222100012020220022110
421200100132111300
5131344421202104
64404341405320
7510612633432
oct114020362560
928305226273
1010204865904
114367420882
121b89709840
13c682894bc
146cb450652
153ead78e89
hex26041e570

10204865904 has 80 divisors (see below), whose sum is σ = 26666761472. Its totient is φ = 3362494464.

The previous prime is 10204865899. The next prime is 10204865959. The reversal of 10204865904 is 40956840201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3325779 + ... + 3328845.

Almost surely, 210204865904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204865904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13333380736).

10204865904 is an abundant number, since it is smaller than the sum of its proper divisors (16461895568).

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

10204865904 is a wasteful number, since it uses less digits than its factorization.

10204865904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10204865904 in words is "ten billion, two hundred four million, eight hundred sixty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 673 824 1236 1346 1648 2019 2472 2692 3067 4038 4944 5384 6134 8076 9201 10768 12268 16152 18402 24536 32304 36804 49072 69319 73608 138638 147216 207957 277276 315901 415914 554552 631802 831828 947703 1109104 1263604 1663656 1895406 2064091 2527208 3327312 3790812 4128182 5054416 6192273 7581624 8256364 12384546 15163248 16512728 24769092 33025456 49538184 99076368 212601373 425202746 637804119 850405492 1275608238 1700810984 2551216476 3401621968 5102432952 10204865904