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20948603676 = 22372113132971
BaseRepresentation
bin10011100000101000…
…100101001100011100
32000001221111022212020
4103200220211030130
5320400320304201
613342413140140
71341061123200
oct234050451434
960057438766
1020948603676
11897aa39000
12408778a650
131c8b08aca0
14102a294b00
15829198a36
hex4e0a2531c

20948603676 has 576 divisors, whose sum is σ = 70657090560. Its totient is φ = 4781145600.

The previous prime is 20948603639. The next prime is 20948603677. The reversal of 20948603676 is 67630684902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20948603677) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 295050721 + ... + 295050791.

It is an arithmetic number, because the mean of its divisors is an integer number (122668560).

Almost surely, 220948603676 is an apocalyptic number.

20948603676 is a gapful number since it is divisible by the number (26) 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 20948603676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35328545280).

20948603676 is an abundant number, since it is smaller than the sum of its proper divisors (49708486884).

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

20948603676 is a wasteful number, since it uses less digits than its factorization.

20948603676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 20948603676 in words is "twenty billion, nine hundred forty-eight million, six hundred three thousand, six hundred seventy-six".