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20000936640 = 263599720897
BaseRepresentation
bin10010101000001001…
…100001001011000000
31220121220021212002010
4102220021201023000
5311430214433030
613104401252520
71305433104426
oct225011411300
956556255063
1020000936640
118534009803
123a62334140
131b69945069
14d7a48b116
157c0da36b0
hex4a82612c0

20000936640 has 112 divisors (see below), whose sum is σ = 63569709792. Its totient is φ = 5327978496.

The previous prime is 20000936629. The next prime is 20000936671. The reversal of 20000936640 is 4663900002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20000936598 and 20000936607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946672 + ... + 967568.

Almost surely, 220000936640 is an apocalyptic number.

20000936640 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 20000936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31784854896).

20000936640 is an abundant number, since it is smaller than the sum of its proper divisors (43568773152).

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

20000936640 is a wasteful number, since it uses less digits than its factorization.

20000936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21914 (or 21904 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 20000936640 in words is "twenty billion, nine hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 997 1994 2991 3988 4985 5982 7976 9970 11964 14955 15952 19940 20897 23928 29910 31904 39880 41794 47856 59820 62691 63808 79760 83588 95712 104485 119640 125382 159520 167176 191424 208970 239280 250764 313455 319040 334352 417940 478560 501528 626910 668704 835880 957120 1003056 1253820 1337408 1671760 2006112 2507640 3343520 4012224 5015280 6687040 10030560 20061120 20834309 41668618 62502927 83337236 104171545 125005854 166674472 208343090 250011708 312514635 333348944 416686180 500023416 625029270 666697888 833372360 1000046832 1250058540 1333395776 1666744720 2000093664 2500117080 3333489440 4000187328 5000234160 6666978880 10000468320 20000936640