Search a number
-
+
21631563503160 = 23351322362181107
BaseRepresentation
bin1001110101100011111011…
…01010001001011000111000
32211120221211212001002010120
410322301331222021120320
510313402420224100120
6114001223022213240
74361554211000022
oct472617552113070
984527755032116
1021631563503160
11698a992733626
122514412a24220
13c0bb03499760
1454ad8a8a7012
15277a47484140
hex13ac7da89638

21631563503160 has 128 divisors (see below), whose sum is σ = 70199983687680. Its totient is φ = 5300814924288.

The previous prime is 21631563503159. The next prime is 21631563503177. The reversal of 21631563503160 is 6130536513612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30742674 + ... + 31438433.

It is an arithmetic number, because the mean of its divisors is an integer number (548437372560).

Almost surely, 221631563503160 is an apocalyptic number.

21631563503160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21631563503160 is an abundant number, since it is smaller than the sum of its proper divisors (48568420184520).

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

21631563503160 is a wasteful number, since it uses less digits than its factorization.

21631563503160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62181357 (or 62181353 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 21631563503160 in words is "twenty-one trillion, six hundred thirty-one billion, five hundred sixty-three million, five hundred three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 223 260 312 390 446 520 669 780 892 1115 1338 1560 1784 2230 2676 2899 3345 4460 5352 5798 6690 8697 8920 11596 13380 14495 17394 23192 26760 28990 34788 43485 57980 69576 86970 115960 173940 347880 62181107 124362214 186543321 248724428 310905535 373086642 497448856 621811070 746173284 808354391 932716605 1243622140 1492346568 1616708782 1865433210 2425063173 2487244280 3233417564 3730866420 4041771955 4850126346 6466835128 7461732840 8083543910 9700252692 12125315865 13866386861 16167087820 19400505384 24250631730 27732773722 32334175640 41599160583 48501263460 55465547444 69331934305 83198321166 97002526920 110931094888 138663868610 166396642332 180263029193 207995802915 277327737220 332793284664 360526058386 415991605830 540789087579 554655474440 721052116772 831983211660 901315145965 1081578175158 1442104233544 1663966423320 1802630291930 2163156350316 2703945437895 3605260583860 4326312700632 5407890875790 7210521167720 10815781751580 21631563503160