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20843233632 = 2535134147107
BaseRepresentation
bin10011011010010110…
…101000000101100000
31222210121012222100000
4103122112220011200
5320141331434012
613324130500000
71335341363664
oct233226500540
958717188300
1020843233632
118926509a21
124058434600
131c722b7150
14101a2a68a4
1581ecd2ddc
hex4da5a8160

20843233632 has 576 divisors, whose sum is σ = 69901138944. Its totient is φ = 6066524160.

The previous prime is 20843233603. The next prime is 20843233667. The reversal of 20843233632 is 23633234802.

It is a super-2 number, since 2×208432336322 (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 194796523 + ... + 194796629.

It is an arithmetic number, because the mean of its divisors is an integer number (121356144).

Almost surely, 220843233632 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 20843233632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34950569472).

20843233632 is an abundant number, since it is smaller than the sum of its proper divisors (49057905312).

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

20843233632 is a wasteful number, since it uses less digits than its factorization.

20843233632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

It can be divided in two parts, 208432 and 33632, that added together give a square (242064 = 4922).

The spelling of 20843233632 in words is "twenty billion, eight hundred forty-three million, two hundred thirty-three thousand, six hundred thirty-two".