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10487785440 = 2535111986323
BaseRepresentation
bin10011100010001111…
…01110011111100000
31000001220121200221210
421301013232133200
5132434333113230
64452405350120
7520616463636
oct116107563740
930056550853
1010487785440
1144a2099480
122048408340
13cb1a86a02
14716c59356
15415b11eb0
hex2711ee7e0

10487785440 has 96 divisors (see below), whose sum is σ = 36039862656. Its totient is φ = 2542492160.

The previous prime is 10487785439. The next prime is 10487785447. The reversal of 10487785440 is 4458778401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10487785440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10487785447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987882 + ... + 998441.

It is an arithmetic number, because the mean of its divisors is an integer number (375415236).

Almost surely, 210487785440 is an apocalyptic number.

10487785440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10487785440 is an abundant number, since it is smaller than the sum of its proper divisors (25552077216).

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

10487785440 is a wasteful number, since it uses less digits than its factorization.

10487785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986352 (or 1986344 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 10487785440 in words is "ten billion, four hundred eighty-seven million, seven hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 1986323 3972646 5958969 7945292 9931615 11917938 15890584 19863230 21849553 23835876 29794845 31781168 39726460 43699106 47671752 59589690 63562336 65548659 79452920 87398212 95343504 109247765 119179380 131097318 158905840 174796424 190687008 218495530 238358760 262194636 317811680 327743295 349592848 436991060 476717520 524389272 655486590 699185696 873982120 953435040 1048778544 1310973180 1747964240 2097557088 2621946360 3495928480 5243892720 10487785440