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20698741440 = 2632513223432
BaseRepresentation
bin10011010001101111…
…011011101011000000
31222102112100000022100
4103101233123223000
5314342334211230
613301525510400
71331635253646
oct232157335300
958375300270
1020698741440
118861999893
124017b72400
131c4b396200
141005013196
15812290660
hex4d1bdbac0

20698741440 has 756 divisors, whose sum is σ = 82359038736. Its totient is φ = 4760211456.

The previous prime is 20698741411. The next prime is 20698741489. The reversal of 20698741440 is 4414789602.

It is a super-3 number, since 3×206987414403 (a number of 32 digits) contains 333 as substring.

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 107 ways as a sum of consecutive naturals, for example, 481366059 + ... + 481366101.

Almost surely, 220698741440 is an apocalyptic number.

20698741440 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 20698741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41179519368).

20698741440 is an abundant number, since it is smaller than the sum of its proper divisors (61660297296).

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

20698741440 is a wasteful number, since it uses less digits than its factorization.

20698741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20698741440 in words is "twenty billion, six hundred ninety-eight million, seven hundred forty-one thousand, four hundred forty".