Search a number
-
+
104002573847040 = 29335111919137693
BaseRepresentation
bin10111101001011011111100…
…011110000100101000000000
3111122020112211012011012121000
4113221123330132010220000
5102112434232401101130
61005110042311132000
730622636506402531
oct2751337436045000
9448215735135530
10104002573847040
1130158275660160
12b7b848b674000
13460552925869b
141b97a73d06688
15c0552b6e1260
hex5e96fc784a00

104002573847040 has 1280 divisors, whose sum is σ = 426453390950400. Its totient is φ = 23760071884800.

The previous prime is 104002573847033. The next prime is 104002573847069. The reversal of 104002573847040 is 40748375200401.

104002573847040 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 2 + 573 + 8 + 4 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2759182434 + ... + 2759220126.

It is an arithmetic number, because the mean of its divisors is an integer number (333166711680).

Almost surely, 2104002573847040 is an apocalyptic number.

104002573847040 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 104002573847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213226695475200).

104002573847040 is an abundant number, since it is smaller than the sum of its proper divisors (322450817103360).

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

104002573847040 is a wasteful number, since it uses less digits than its factorization.

104002573847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37946 (or 37924 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 104002573847040 in words is "one hundred four trillion, two billion, five hundred seventy-three million, eight hundred forty-seven thousand, forty".