Search a number
-
+
20406602280600 = 23325211337001267
BaseRepresentation
bin1001010001111010010000…
…10001111010111010011000
32200020212000012101110222200
410220331020101322322120
510133320210140434400
6111222355204050200
74204220425256244
oct450751021727230
980225005343880
1020406602280600
116558433a96588
122356b29993960
13b50446704793
1450798320b424
15255c511d5b00
hex128f4847ae98

20406602280600 has 72 divisors (see below), whose sum is σ = 68532172665060. Its totient is φ = 5441760607680.

The previous prime is 20406602280587. The next prime is 20406602280607. The reversal of 20406602280600 is 608220660402.

20406602280600 is a `hidden beast` number, since 2 + 0 + 40 + 6 + 6 + 0 + 2 + 2 + 8 + 0 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×204066022806002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20406602280607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5668498834 + ... + 5668502433.

Almost surely, 220406602280600 is an apocalyptic number.

20406602280600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20406602280600 is an abundant number, since it is smaller than the sum of its proper divisors (48125570384460).

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

20406602280600 is a wasteful number, since it uses less digits than its factorization.

20406602280600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11337001289 (or 11337001277 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20406602280600 in words is "twenty trillion, four hundred six billion, six hundred two million, two hundred eighty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11337001267 22674002534 34011003801 45348005068 56685006335 68022007602 90696010136 102033011403 113370012670 136044015204 170055019005 204066022806 226740025340 272088030408 283425031675 340110038010 408132045612 453480050680 510165057015 566850063350 680220076020 816264091224 850275095025 1020330114030 1133700126700 1360440152040 1700550190050 2040660228060 2267400253400 2550825285075 3401100380100 4081320456120 5101650570150 6802200760200 10203301140300 20406602280600