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10407989940 = 22351051165049
BaseRepresentation
bin10011011000101110…
…10101001010110100
3222212100110200002220
421230113111022310
5132303421134230
64440435202340
7515630311665
oct115427251264
928770420086
1010407989940
114461047987
1220257463b0
13c9b39873a
1470a40736c
1540daedd10
hex26c5d52b4

10407989940 has 48 divisors (see below), whose sum is σ = 29170276800. Its totient is φ = 2772806400.

The previous prime is 10407989939. The next prime is 10407989947. The reversal of 10407989940 is 4998970401.

10407989940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104079899402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407989947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19465 + ... + 145584.

It is an arithmetic number, because the mean of its divisors is an integer number (607714100).

Almost surely, 210407989940 is an apocalyptic number.

10407989940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10407989940 is an abundant number, since it is smaller than the sum of its proper divisors (18762286860).

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

10407989940 is a wasteful number, since it uses less digits than its factorization.

10407989940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166112 (or 166110 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 10407989940 in words is "ten billion, four hundred seven million, nine hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1051 2102 3153 4204 5255 6306 10510 12612 15765 21020 31530 63060 165049 330098 495147 660196 825245 990294 1650490 1980588 2475735 3300980 4951470 9902940 173466499 346932998 520399497 693865996 867332495 1040798994 1734664990 2081597988 2601997485 3469329980 5203994970 10407989940