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20932132317120 = 2632523595356007
BaseRepresentation
bin1001100001001101001000…
…10011111010011111000000
32202010002111021212102110100
410300212210103322133000
510220423001333121440
6112304031104402400
74260203516004153
oct460464423723700
982102437772410
1020932132317120
1167402a3aa2312
122420954916400
13b8ab78b2962b
14525198d4bc9a
1526475d2d9230
hex1309a44fa7c0

20932132317120 has 336 divisors, whose sum is σ = 76401525957120. Its totient is φ = 5248714487808.

The previous prime is 20932132317091. The next prime is 20932132317149. The reversal of 20932132317120 is 2171323123902.

It is a happy number.

20932132317120 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 213 + 2 + 317 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (20932132317091) and next prime (20932132317149).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1230157 + ... + 6586163.

It is an arithmetic number, because the mean of its divisors is an integer number (227385493920).

Almost surely, 220932132317120 is an apocalyptic number.

20932132317120 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 20932132317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38200762978560).

20932132317120 is an abundant number, since it is smaller than the sum of its proper divisors (55469393640000).

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

20932132317120 is a wasteful number, since it uses less digits than its factorization.

20932132317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356112 (or 5356099 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 20932132317120 in words is "twenty trillion, nine hundred thirty-two billion, one hundred thirty-two million, three hundred seventeen thousand, one hundred twenty".