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20055557563600 = 2452134093942301
BaseRepresentation
bin1001000111101100011000…
…11000100110010011010000
32122000021220021211011022111
410203312030120212103100
510112042240214013400
6110353221305315104
74136652261354646
oct443661430462320
978007807734274
1020055557563600
116432572440959
1222baa99795a94
13b26300570420
144d49a0b0b196
1524ba575bb3ba
hex123d8c6264d0

20055557563600 has 120 divisors (see below), whose sum is σ = 51902631156152. Its totient is φ = 7403311872000.

The previous prime is 20055557563537. The next prime is 20055557563603. The reversal of 20055557563600 is 636575555002.

It can be written as a sum of positive squares in 12 ways, for example, as 5666189901376 + 14389367662224 = 2380376^2 + 3793332^2 .

It is a super-3 number, since 3×200555575636003 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20055557563603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20812450 + ... + 21754750.

Almost surely, 220055557563600 is an apocalyptic number.

20055557563600 is a gapful number since it is divisible by the number (20) 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 20055557563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25951315578076).

20055557563600 is an abundant number, since it is smaller than the sum of its proper divisors (31847073592552).

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

20055557563600 is a wasteful number, since it uses less digits than its factorization.

20055557563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946425 (or 946414 counting only the distinct ones).

The product of its (nonzero) digits is 4725000, while the sum is 49.

The spelling of 20055557563600 in words is "twenty trillion, fifty-five billion, five hundred fifty-seven million, five hundred sixty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 4093 5200 8186 16372 20465 32744 40930 53209 65488 81860 102325 106418 163720 204650 212836 266045 327440 409300 425672 532090 818600 851344 942301 1064180 1330225 1637200 1884602 2128360 2660450 3769204 4256720 4711505 5320900 7538408 9423010 10641800 12249913 15076816 18846020 21283600 23557525 24499826 37692040 47115050 48999652 61249565 75384080 94230100 97999304 122499130 188460200 195998608 244998260 306247825 376920400 489996520 612495650 979993040 1224991300 2449982600 3856837993 4899965200 7713675986 15427351972 19284189965 30854703944 38568379930 50138893909 61709407888 77136759860 96420949825 100277787818 154273519720 192841899650 200555575636 250694469545 308547039440 385683799300 401111151272 501388939090 771367598600 802222302544 1002777878180 1253472347725 1542735197200 2005555756360 2506944695450 4011111512720 5013889390900 10027778781800 20055557563600