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20187817488 = 243348795957
BaseRepresentation
bin10010110011010010…
…011010011000010000
31221002220221101102000
4102303102122120100
5312321040124423
613135114554000
71313162421516
oct226322323020
957086841360
1020187817488
11861a551093
123ab4a38900
131b99587b47
14d972164b6
157d24ba843
hex4b349a610

20187817488 has 80 divisors (see below), whose sum is σ = 58066104960. Its totient is φ = 6715384704.

The previous prime is 20187817409. The next prime is 20187817499. The reversal of 20187817488 is 88471878102.

It is a happy number.

20187817488 is a `hidden beast` number, since 2 + 0 + 1 + 87 + 81 + 7 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162406 + ... + 258362.

It is an arithmetic number, because the mean of its divisors is an integer number (725826312).

Almost surely, 220187817488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20187817488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29033052480).

20187817488 is an abundant number, since it is smaller than the sum of its proper divisors (37878287472).

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

20187817488 is a wasteful number, since it uses less digits than its factorization.

20187817488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96461 (or 96449 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 54.

The spelling of 20187817488 in words is "twenty billion, one hundred eighty-seven million, eight hundred seventeen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 487 974 1461 1948 2922 3896 4383 5844 7792 8766 11688 13149 17532 23376 26298 35064 52596 70128 95957 105192 191914 210384 287871 383828 575742 767656 863613 1151484 1535312 1727226 2302968 2590839 3454452 4605936 5181678 6908904 10363356 13817808 20726712 41453424 46731059 93462118 140193177 186924236 280386354 373848472 420579531 560772708 747696944 841159062 1121545416 1261738593 1682318124 2243090832 2523477186 3364636248 5046954372 6729272496 10093908744 20187817488