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51664241101020 = 22357185011426627
BaseRepresentation
bin10111011111101000001001…
…01111010000100011011100
320202221001102210101210201220
423233310010233100203130
523232431331210213040
6301514120311533340
713611422025365652
oct1357640457204334
9222831383353656
1051664241101020
11155097552435a9
125964a6198a250
1322a9bbc942912
14ca87c3b3cdd2
155e8d8ae942d0
hex2efd04bd08dc

51664241101020 has 96 divisors (see below), whose sum is σ = 146714697432576. Its totient is φ = 13581479520000.

The previous prime is 51664241101009. The next prime is 51664241101027. The reversal of 51664241101020 is 2010114246615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51664241101027) 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, 35500947 + ... + 36927573.

It is an arithmetic number, because the mean of its divisors is an integer number (1528278098256).

Almost surely, 251664241101020 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 51664241101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73357348716288).

51664241101020 is an abundant number, since it is smaller than the sum of its proper divisors (95050456331556).

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

51664241101020 is a wasteful number, since it uses less digits than its factorization.

51664241101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435211 (or 1435209 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 51664241101020 its reverse (2010114246615), we get a palindrome (53674355347635).

The spelling of 51664241101020 in words is "fifty-one trillion, six hundred sixty-four billion, two hundred forty-one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 8501 17002 25503 34004 42505 51006 85010 102012 127515 170020 255030 510060 603571 1207142 1426627 1810713 2414284 2853254 3017855 3621426 4279881 5706508 6035710 7133135 7242852 8559762 9053565 12071420 14266270 17119524 18107130 21399405 28532540 36214260 42798810 85597620 101290517 202581034 303871551 405162068 506452585 607743102 1012905170 1215486204 1519357755 2025810340 3038715510 6077431020 12127756127 24255512254 36383268381 48511024508 60638780635 72766536762 121277561270 145533073524 181916341905 242555122540 363832683810 727665367620 861070685017 1722141370034 2583212055051 3444282740068 4305353425085 5166424110102 8610706850170 10332848220204 12916060275255 17221413700340 25832120550510 51664241101020