Search a number
-
+
20645502336 = 273283215921
BaseRepresentation
bin10011001110100100…
…010101110110000000
31222021211011011222200
4103032210111312000
5314240222033321
613252344433200
71330420605624
oct231644256600
958254134880
1020645502336
118834936528
124002178800
131c40345694
14ddbd15184
1580c775d26
hex4ce915d80

20645502336 has 96 divisors (see below), whose sum is σ = 60125640120. Its totient is φ = 6798888960.

The previous prime is 20645502307. The next prime is 20645502337. The reversal of 20645502336 is 63320554602.

20645502336 is a `hidden beast` number, since 2 + 0 + 645 + 5 + 0 + 2 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20645502336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20645502337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12345 + ... + 203576.

Almost surely, 220645502336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20645502336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30062820060).

20645502336 is an abundant number, since it is smaller than the sum of its proper divisors (39480137784).

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

20645502336 is a wasteful number, since it uses less digits than its factorization.

20645502336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216024 (or 216009 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 20645502336 in words is "twenty billion, six hundred forty-five million, five hundred two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 288 332 384 498 576 664 747 996 1152 1328 1494 1992 2656 2988 3984 5312 5976 7968 10624 11952 15936 23904 31872 47808 95616 215921 431842 647763 863684 1295526 1727368 1943289 2591052 3454736 3886578 5182104 6909472 7773156 10364208 13818944 15546312 17921443 20728416 27637888 31092624 35842886 41456832 53764329 62185248 71685772 82913664 107528658 124370496 143371544 161292987 215057316 248740992 286743088 322585974 430114632 573486176 645171948 860229264 1146972352 1290343896 1720458528 2293944704 2580687792 3440917056 5161375584 6881834112 10322751168 20645502336