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10412460640 = 255232829473
BaseRepresentation
bin10011011001010000…
…11000101001100000
3222212122212210202101
421230220120221200
5132311042220030
64441115100144
7516013312051
oct115450305140
928778783671
1010412460640
11446362087a
122027141654
13c9c2a261a
1470ac4c728
1540e1d37ca
hex26ca18a60

10412460640 has 48 divisors (see below), whose sum is σ = 25668988128. Its totient is φ = 3983896576.

The previous prime is 10412460623. The next prime is 10412460649. The reversal of 10412460640 is 4606421401.

It is a junction number, because it is equal to n+sod(n) for n = 10412460599 and 10412460608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412460649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1411057 + ... + 1418416.

It is an arithmetic number, because the mean of its divisors is an integer number (534770586).

Almost surely, 210412460640 is an apocalyptic number.

10412460640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10412460640 is an abundant number, since it is smaller than the sum of its proper divisors (15256527488).

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

10412460640 is a wasteful number, since it uses less digits than its factorization.

10412460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829511 (or 2829503 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 10412460640 in words is "ten billion, four hundred twelve million, four hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 2829473 5658946 11317892 14147365 22635784 28294730 45271568 56589460 65077879 90543136 113178920 130155758 226357840 260311516 325389395 452715680 520623032 650778790 1041246064 1301557580 2082492128 2603115160 5206230320 10412460640