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10045249740 = 2232579706417
BaseRepresentation
bin10010101101011111…
…00101100011001100
3221221001220120002200
421112233211203030
5131033040442430
64340440321500
7503634133251
oct112657454314
927831816080
1010045249740
114295310899
121b44173290
13c411a1676
146b4181428
153dbd4a460
hex256be58cc

10045249740 has 72 divisors (see below), whose sum is σ = 30856338240. Its totient is φ = 2644821504.

The previous prime is 10045249733. The next prime is 10045249757. The reversal of 10045249740 is 4794254001.

It is a happy number.

10045249740 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 524 + 97 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10045249695 and 10045249704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338989 + ... + 367428.

Almost surely, 210045249740 is an apocalyptic number.

10045249740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045249740 is an abundant number, since it is smaller than the sum of its proper divisors (20811088500).

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

10045249740 is a wasteful number, since it uses less digits than its factorization.

10045249740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706511 (or 706506 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10045249740 in words is "ten billion, forty-five million, two hundred forty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 14220 706417 1412834 2119251 2825668 3532085 4238502 6357753 7064170 8477004 10596255 12715506 14128340 21192510 25431012 31788765 42385020 55806943 63577530 111613886 127155060 167420829 223227772 279034715 334841658 502262487 558069430 669683316 837104145 1004524974 1116138860 1674208290 2009049948 2511312435 3348416580 5022624870 10045249740