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45119763400 = 2352972325761
BaseRepresentation
bin101010000001010110…
…001111001111001000
311022110110210110120011
4222001112033033020
51214401124412100
632421105041304
73155052442465
oct520126171710
9138413713504
1045119763400
1118153a26068
1288b2626234
13434098446a
14228052666c
1512911e8bba
hexa8158f3c8

45119763400 has 48 divisors (see below), whose sum is σ = 105984974340. Its totient is φ = 17861836800.

The previous prime is 45119763397. The next prime is 45119763421. The reversal of 45119763400 is 436791154.

It can be written as a sum of positive squares in 6 ways, for example, as 7089303204 + 38030460196 = 84198^2 + 195014^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143481 + ... + 1182280.

Almost surely, 245119763400 is an apocalyptic number.

45119763400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45119763400 is an abundant number, since it is smaller than the sum of its proper divisors (60865210940).

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

45119763400 is a wasteful number, since it uses less digits than its factorization.

45119763400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325874 (or 2325865 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 45119763400 in words is "forty-five billion, one hundred nineteen million, seven hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2425 3880 4850 9700 19400 2325761 4651522 9303044 11628805 18606088 23257610 46515220 58144025 93030440 116288050 225598817 232576100 451197634 465152200 902395268 1127994085 1804790536 2255988170 4511976340 5639970425 9023952680 11279940850 22559881700 45119763400