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10451864940 = 223511113140143
BaseRepresentation
bin10011011101111101…
…01100110101101100
3222222102000202021220
421232332230311230
5132401134134230
64445043423340
7520002246306
oct115676546554
928872022256
1010451864940
114483894910
122038384b50
13ca74bac8a
14712188976
154128b8d10
hex26efacd6c

10451864940 has 96 divisors (see below), whose sum is σ = 32208454656. Its totient is φ = 2511344640.

The previous prime is 10451864903. The next prime is 10451864963. The reversal of 10451864940 is 4946815401.

It is a junction number, because it is equal to n+sod(n) for n = 10451864892 and 10451864901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4509 + ... + 144651.

It is an arithmetic number, because the mean of its divisors is an integer number (335504736).

Almost surely, 210451864940 is an apocalyptic number.

10451864940 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 10451864940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104227328).

10451864940 is an abundant number, since it is smaller than the sum of its proper divisors (21756589716).

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

10451864940 is a wasteful number, since it uses less digits than its factorization.

10451864940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140279 (or 140277 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10451864940 in words is "ten billion, four hundred fifty-one million, eight hundred sixty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 113 132 165 220 226 330 339 452 565 660 678 1130 1243 1356 1695 2260 2486 3390 3729 4972 6215 6780 7458 12430 14916 18645 24860 37290 74580 140143 280286 420429 560572 700715 840858 1401430 1541573 1681716 2102145 2802860 3083146 4204290 4624719 6166292 7707865 8408580 9249438 15415730 15836159 18498876 23123595 30831460 31672318 46247190 47508477 63344636 79180795 92494380 95016954 158361590 174197749 190033908 237542385 316723180 348395498 475084770 522593247 696790996 870988745 950169540 1045186494 1741977490 2090372988 2612966235 3483954980 5225932470 10451864940