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20201160096720 = 2432582134174381
BaseRepresentation
bin1001001011111011100101…
…11110001011101111010000
32122112012201120200012200100
410211331302332023233100
510121433433441043340
6110544141305052400
74153325402441031
oct445756276135720
978465646605610
1020201160096720
11648929a260059
122323153787100
13b36c65a65875
144dba54442a88
1525072a0b2830
hex125f72f8bbd0

20201160096720 has 120 divisors (see below), whose sum is σ = 67924864965672. Its totient is φ = 5380414387200.

The previous prime is 20201160096713. The next prime is 20201160096737. The reversal of 20201160096720 is 2769006110202.

20201160096720 is a `hidden beast` number, since 2 + 0 + 20 + 1 + 1 + 600 + 9 + 6 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2576679881616 + 17624480215104 = 1605204^2 + 4198152^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 16496071 + ... + 17678310.

Almost surely, 220201160096720 is an apocalyptic number.

20201160096720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201160096720 is an abundant number, since it is smaller than the sum of its proper divisors (47723704868952).

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

20201160096720 is a wasteful number, since it uses less digits than its factorization.

20201160096720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34175221 (or 34175212 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 20201160096720 in words is "twenty trillion, two hundred one billion, one hundred sixty million, ninety-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 821 1642 2463 3284 4105 4926 6568 7389 8210 9852 12315 13136 14778 16420 19704 24630 29556 32840 36945 39408 49260 59112 65680 73890 98520 118224 147780 197040 295560 591120 34174381 68348762 102523143 136697524 170871905 205046286 273395048 307569429 341743810 410092572 512615715 546790096 615138858 683487620 820185144 1025231430 1230277716 1366975240 1537847145 1640370288 2050462860 2460555432 2733950480 3075694290 4100925720 4921110864 6151388580 8201851440 12302777160 24605554320 28057166801 56114333602 84171500403 112228667204 140285834005 168343000806 224457334408 252514501209 280571668010 336686001612 420857502015 448914668816 505029002418 561143336020 673372003224 841715004030 1010058004836 1122286672040 1262572506045 1346744006448 1683430008060 2020116009672 2244573344080 2525145012090 3366860016120 4040232019344 5050290024180 6733720032240 10100580048360 20201160096720