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10432525640 = 235833598753
BaseRepresentation
bin10011011011101001…
…11011010101001000
3222221001122012202112
421231310323111020
5132331211310030
64443113121452
7516346001435
oct115564732510
928831565675
1010432525640
114473985a19
1220319b9288
13ca34a94c4
1470d792b8c
15410d48a95
hex26dd3b548

10432525640 has 64 divisors (see below), whose sum is σ = 23824886400. Its totient is φ = 4110779392.

The previous prime is 10432525639. The next prime is 10432525669. The reversal of 10432525640 is 4652523401.

It is a junction number, because it is equal to n+sod(n) for n = 10432525597 and 10432525606.

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, 1187504 + ... + 1196256.

It is an arithmetic number, because the mean of its divisors is an integer number (372263850).

Almost surely, 210432525640 is an apocalyptic number.

10432525640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10432525640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912443200).

10432525640 is an abundant number, since it is smaller than the sum of its proper divisors (13392360760).

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

10432525640 is a wasteful number, since it uses less digits than its factorization.

10432525640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9206 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 10432525640 in words is "ten billion, four hundred thirty-two million, five hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 359 415 664 718 830 1436 1660 1795 2872 3320 3590 7180 8753 14360 17506 29797 35012 43765 59594 70024 87530 119188 148985 175060 238376 297970 350120 595940 726499 1191880 1452998 2905996 3142327 3632495 5811992 6284654 7264990 12569308 14529980 15711635 25138616 29059960 31423270 62846540 125693080 260813141 521626282 1043252564 1304065705 2086505128 2608131410 5216262820 10432525640