Search a number
-
+
20876295103920 = 2435531129126833
BaseRepresentation
bin1001011111100101001000…
…01001110110010110110000
32201220202100220022002200000
410233302210021312112300
510214014123021311140
6112222234303230000
74253156024350134
oct457624411662660
981822326262600
1020876295103920
116719650384623
122411b70ba8300
13b8581a948bc9
145225bd2a53c4
15263091264a30
hex12fca42765b0

20876295103920 has 480 divisors, whose sum is σ = 75112503158784. Its totient is φ = 5383057305600.

The previous prime is 20876295103819. The next prime is 20876295103921. The reversal of 20876295103920 is 2930159267802.

20876295103920 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 629 + 5 + 1 + 0 + 3 + 9 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20876295103921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 777994824 + ... + 778021656.

Almost surely, 220876295103920 is an apocalyptic number.

20876295103920 is a gapful number since it is divisible by the number (20) 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 20876295103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37556251579392).

20876295103920 is an abundant number, since it is smaller than the sum of its proper divisors (54236208054864).

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

20876295103920 is a wasteful number, since it uses less digits than its factorization.

20876295103920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28183 (or 28165 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20876295103920 in words is "twenty trillion, eight hundred seventy-six billion, two hundred ninety-five million, one hundred three thousand, nine hundred twenty".