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20735870080 = 27583390359
BaseRepresentation
bin10011010011111101…
…000100010010000000
31222112010012100020011
4103103331010102000
5314431340320310
613305333354304
71332565662502
oct232375042200
958463170204
1020735870080
118880949112
124028498994
131c55c95b13
141009d19d72
1581567678a
hex4d3f44480

20735870080 has 64 divisors (see below), whose sum is σ = 50169067200. Its totient is φ = 8194395136.

The previous prime is 20735870069. The next prime is 20735870083. The reversal of 20735870080 is 8007853702.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (20735870083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142060 + ... + 248299.

It is an arithmetic number, because the mean of its divisors is an integer number (783891675).

Almost surely, 220735870080 is an apocalyptic number.

20735870080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20735870080 is an abundant number, since it is smaller than the sum of its proper divisors (29433197120).

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

20735870080 is an equidigital number, since it uses as much as digits as its factorization.

20735870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390461 (or 390449 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 20735870080 in words is "twenty billion, seven hundred thirty-five million, eight hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 320 332 415 640 664 830 1328 1660 2656 3320 5312 6640 10624 13280 26560 53120 390359 780718 1561436 1951795 3122872 3903590 6245744 7807180 12491488 15614360 24982976 31228720 32399797 49965952 62457440 64799594 124914880 129599188 161998985 249829760 259198376 323997970 518396752 647995940 1036793504 1295991880 2073587008 2591983760 4147174016 5183967520 10367935040 20735870080