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20433037384720 = 245620814114189
BaseRepresentation
bin1001010010101011011111…
…11011110101110000010000
32200100101020111200220120001
410221111233323311300100
510134233330032302340
6111242450252055344
74206144500040532
oct451255773656020
980311214626501
1020433037384720
116568669a08574
122360086a64554
13b52a9a35aa1c
14508d70003852
1525679bd8429a
hex12956fef5c10

20433037384720 has 40 divisors (see below), whose sum is σ = 47507588705880. Its totient is φ = 8173081313280.

The previous prime is 20433037384709. The next prime is 20433037384723. The reversal of 20433037384720 is 2748373033402.

It can be written as a sum of positive squares in 4 ways, for example, as 580808603664 + 19852228781056 = 762108^2 + 4455584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20433037384723) 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, 2909386 + ... + 7023574.

It is an arithmetic number, because the mean of its divisors is an integer number (1187689717647).

Almost surely, 220433037384720 is an apocalyptic number.

20433037384720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20433037384720 is an abundant number, since it is smaller than the sum of its proper divisors (27074551321160).

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

20433037384720 is a wasteful number, since it uses less digits than its factorization.

20433037384720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176283 (or 4176277 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 46.

The spelling of 20433037384720 in words is "twenty trillion, four hundred thirty-three billion, thirty-seven million, three hundred eighty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 62081 124162 248324 310405 496648 620810 993296 1241620 2483240 4114189 4966480 8228378 16456756 20570945 32913512 41141890 65827024 82283780 164567560 329135120 255412967309 510825934618 1021651869236 1277064836545 2043303738472 2554129673090 4086607476944 5108259346180 10216518692360 20433037384720