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10376408040 = 23353117915583
BaseRepresentation
bin10011010100111101…
…10110101111101000
3222210011001010212220
421222132312233220
5132222330024130
64433350234040
7515065004325
oct115236665750
928704033786
1010376408040
114445236a39
122017055920
13c9498b71b
14706145b4c
1540ae61410
hex26a7b6be8

10376408040 has 128 divisors (see below), whose sum is σ = 32314982400. Its totient is φ = 2662652160.

The previous prime is 10376408027. The next prime is 10376408059. The reversal of 10376408040 is 4080467301.

It is a junction number, because it is equal to n+sod(n) for n = 10376407992 and 10376408010.

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, 658089 + ... + 673671.

It is an arithmetic number, because the mean of its divisors is an integer number (252460800).

Almost surely, 210376408040 is an apocalyptic number.

10376408040 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 10376408040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157491200).

10376408040 is an abundant number, since it is smaller than the sum of its proper divisors (21938574360).

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

10376408040 is a wasteful number, since it uses less digits than its factorization.

10376408040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15807 (or 15803 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 10376408040 in words is "ten billion, three hundred seventy-six million, four hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 179 186 248 310 358 372 465 537 620 716 744 895 930 1074 1240 1432 1790 1860 2148 2685 3580 3720 4296 5370 5549 7160 10740 11098 15583 16647 21480 22196 27745 31166 33294 44392 46749 55490 62332 66588 77915 83235 93498 110980 124664 133176 155830 166470 186996 221960 233745 311660 332940 373992 467490 483073 623320 665880 934980 966146 1449219 1869960 1932292 2415365 2789357 2898438 3864584 4830730 5578714 5796876 7246095 8368071 9661460 11157428 11593752 13946785 14492190 16736142 19322920 22314856 27893570 28984380 33472284 41840355 55787140 57968760 66944568 83680710 86470067 111574280 167361420 172940134 259410201 334722840 345880268 432350335 518820402 691760536 864700670 1037640804 1297051005 1729401340 2075281608 2594102010 3458802680 5188204020 10376408040