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9973849128 = 2332947929917
BaseRepresentation
bin10010100100111110…
…01101110000101000
3221202002120000212120
421102133031300220
5130411301133003
64325410111240
7502106214225
oct112237156050
927662500776
109973849128
114258a83521
121b2427b520
13c2c462499
146a88b694c
153d5944853
hex2527cdc28

9973849128 has 64 divisors (see below), whose sum is σ = 25849152000. Its totient is φ = 3203165952.

The previous prime is 9973849087. The next prime is 9973849141. The reversal of 9973849128 is 8219483799.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318426 + ... + 348342.

It is an arithmetic number, because the mean of its divisors is an integer number (403893000).

Almost surely, 29973849128 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 9973849128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924576000).

9973849128 is an abundant number, since it is smaller than the sum of its proper divisors (15875302872).

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

9973849128 is a wasteful number, since it uses less digits than its factorization.

9973849128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30434 (or 30430 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The square root of 9973849128 is about 99869.1600445303. The cubic root of 9973849128 is about 2152.5550390677. Note that the first 3 decimals are identical.

The spelling of 9973849128 in words is "nine billion, nine hundred seventy-three million, eight hundred forty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 479 696 958 1437 1916 2874 3832 5748 11496 13891 27782 29917 41673 55564 59834 83346 89751 111128 119668 166692 179502 239336 333384 359004 718008 867593 1735186 2602779 3470372 5205558 6940744 10411116 14330243 20822232 28660486 42990729 57320972 85981458 114641944 171962916 343925832 415577047 831154094 1246731141 1662308188 2493462282 3324616376 4986924564 9973849128