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20901965976 = 2333434874621
BaseRepresentation
bin10011011101110110…
…101011000010011000
31222221200201212222000
4103131312223002120
5320301400402401
613334025401000
71336653531213
oct233566530230
958850655860
1020901965976
118956684451
124074039160
131c8150c108
141023dd477a
15825035186
hex4dddab098

20901965976 has 128 divisors (see below), whose sum is σ = 59546150400. Its totient is φ = 6789847680.

The previous prime is 20901965941. The next prime is 20901965983. The reversal of 20901965976 is 67956910902.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4520946 + ... + 4525566.

It is an arithmetic number, because the mean of its divisors is an integer number (465204300).

Almost surely, 220901965976 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 20901965976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29773075200).

20901965976 is an abundant number, since it is smaller than the sum of its proper divisors (38644184424).

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

20901965976 is a wasteful number, since it uses less digits than its factorization.

20901965976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 20901965976 in words is "twenty billion, nine hundred one million, nine hundred sixty-five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 487 516 774 974 1032 1161 1461 1548 1948 2322 2922 3096 3896 4383 4621 4644 5844 8766 9242 9288 11688 13149 13863 17532 18484 20941 26298 27726 35064 36968 41589 41882 52596 55452 62823 83178 83764 105192 110904 124767 125646 166356 167528 188469 198703 249534 251292 332712 376938 397406 499068 502584 565407 596109 753876 794812 998136 1130814 1192218 1507752 1589624 1788327 2250427 2261628 2384436 3576654 4500854 4523256 4768872 5364981 6751281 7153308 9001708 10729962 13502562 14306616 18003416 20253843 21459924 27005124 40507686 42919848 54010248 60761529 81015372 96768361 121523058 162030744 193536722 243046116 290305083 387073444 486092232 580610166 774146888 870915249 1161220332 1741830498 2322440664 2612745747 3483660996 5225491494 6967321992 10450982988 20901965976