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10046380720 = 2451971127733
BaseRepresentation
bin10010101101100111…
…11001101010110000
3221221011001000111211
421112303321222300
5131033333140340
64340520445504
7503646553465
oct112663715260
927834030454
1010046380720
114295a13592
121b44619894
13c414a939c
146b439766c
153dbec05ea
hex256cf9ab0

10046380720 has 160 divisors (see below), whose sum is σ = 25164103680. Its totient is φ = 3718794240.

The previous prime is 10046380717. The next prime is 10046380753. The reversal of 10046380720 is 2708364001.

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, 13705474 + ... + 13706206.

It is an arithmetic number, because the mean of its divisors is an integer number (157275648).

Almost surely, 210046380720 is an apocalyptic number.

10046380720 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 10046380720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582051840).

10046380720 is an abundant number, since it is smaller than the sum of its proper divisors (15117722960).

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

10046380720 is a wasteful number, since it uses less digits than its factorization.

10046380720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 10046380720 in words is "ten billion, forty-six million, three hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 71 76 80 95 127 142 152 190 254 284 304 355 380 508 568 635 710 733 760 1016 1136 1270 1349 1420 1466 1520 2032 2413 2540 2698 2840 2932 3665 4826 5080 5396 5680 5864 6745 7330 9017 9652 10160 10792 11728 12065 13490 13927 14660 18034 19304 21584 24130 26980 27854 29320 36068 38608 45085 48260 52043 53960 55708 58640 69635 72136 90170 93091 96520 104086 107920 111416 139270 144272 171323 180340 186182 193040 208172 222832 260215 278540 342646 360680 372364 416344 465455 520430 557080 685292 721360 744728 832688 856615 930910 988817 1040860 1114160 1370584 1489456 1713230 1768729 1861820 1977634 2081720 2741168 3426460 3537458 3723640 3955268 4163440 4944085 6609461 6852920 7074916 7447280 7910536 8843645 9888170 13218922 13705840 14149832 15821072 17687290 19776340 26437844 28299664 33047305 35374580 39552680 52875688 66094610 70749160 79105360 105751376 125579759 132189220 141498320 251159518 264378440 502319036 528756880 627898795 1004638072 1255797590 2009276144 2511595180 5023190360 10046380720