Search a number
-
+
20044987362504 = 233513292943127
BaseRepresentation
bin1001000111011000101100…
…10110011110110011001000
32121222021121122010022100000
410203230112112132303020
510111404113231100004
6110344312353243000
74136126321214066
oct443542626366310
977867548108300
1020044987362504
116429038881375
1222b8a29863460
13b253076bb970
144d427ad5b036
1524b639629c39
hex123b1659ecc8

20044987362504 has 288 divisors, whose sum is σ = 62792745462720. Its totient is φ = 5955003194112.

The previous prime is 20044987362497. The next prime is 20044987362539. The reversal of 20044987362504 is 40526378944002.

It is a happy number.

20044987362504 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 9 + 8 + 7 + 3 + 625 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20782189 + ... + 21725315.

It is an arithmetic number, because the mean of its divisors is an integer number (218030366190).

Almost surely, 220044987362504 is an apocalyptic number.

20044987362504 is a gapful number since it is divisible by the number (24) 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 20044987362504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31396372731360).

20044987362504 is an abundant number, since it is smaller than the sum of its proper divisors (42747758100216).

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

20044987362504 is a wasteful number, since it uses less digits than its factorization.

20044987362504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943219 (or 943174 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 20044987362504 in words is "twenty trillion, forty-four billion, nine hundred eighty-seven million, three hundred sixty-two thousand, five hundred four".