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36421414020 = 22335232932481
BaseRepresentation
bin100001111010111000…
…101010110010000100
310111000021022112102000
4201322320222302010
51044042340222040
624422021145300
72426361624345
oct417270526204
9114007275360
1036421414020
111449aa36472
12708555b230
13358585c374
141a971d40cc
15e32755130
hex87ae2ac84

36421414020 has 96 divisors (see below), whose sum is σ = 118237674240. Its totient is φ = 9290096640.

The previous prime is 36421413953. The next prime is 36421414027. The reversal of 36421414020 is 2041412463.

It is a happy number.

36421414020 is a `hidden beast` number, since 3 + 642 + 1 + 4 + 14 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36421414027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1453821 + ... + 1478660.

It is an arithmetic number, because the mean of its divisors is an integer number (1231642440).

Almost surely, 236421414020 is an apocalyptic number.

36421414020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36421414020 is an abundant number, since it is smaller than the sum of its proper divisors (81816260220).

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

36421414020 is a wasteful number, since it uses less digits than its factorization.

36421414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932522 (or 2932514 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 36421414020 its reverse (2041412463), we get a palindrome (38462826483).

The spelling of 36421414020 in words is "thirty-six billion, four hundred twenty-one million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 2932481 5864962 8797443 11729924 14662405 17594886 26392329 29324810 35189772 43987215 52784658 58649620 67447063 79176987 87974430 105569316 131961645 134894126 158353974 175948860 202341189 263923290 269788252 316707948 337235315 395884935 404682378 527846580 607023567 674470630 791769870 809364756 1011705945 1214047134 1348941260 1583539740 1821070701 2023411890 2428094268 3035117835 3642141402 4046823780 6070235670 7284282804 9105353505 12140471340 18210707010 36421414020