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133408940820 = 223531373919183
BaseRepresentation
bin111110000111111001…
…0101110001100010100
3110202100111110101022020
41330033302232030110
54141210142101240
6141142012333140
712431666200221
oct1741762561424
9422314411266
10133408940820
115163a9618a1
1221a324741b0
13c77120b08c
146658122948
15370c2850d0
hex1f0fcae314

133408940820 has 96 divisors (see below), whose sum is σ = 385718108160. Its totient is φ = 34417111680.

The previous prime is 133408940761. The next prime is 133408940839. The reversal of 133408940820 is 28049804331.

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, 6944949 + ... + 6964131.

It is an arithmetic number, because the mean of its divisors is an integer number (4017896960).

Almost surely, 2133408940820 is an apocalyptic number.

133408940820 is a gapful number since it is divisible by the number (10) 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 133408940820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192859054080).

133408940820 is an abundant number, since it is smaller than the sum of its proper divisors (252309167340).

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

133408940820 is a wasteful number, since it uses less digits than its factorization.

133408940820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22965 (or 22963 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 133408940820 in words is "one hundred thirty-three billion, four hundred eight million, nine hundred forty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 3739 7478 11217 14956 18695 19183 22434 37390 38366 44868 56085 57549 74780 76732 95915 112170 115098 115909 191830 224340 230196 231818 287745 347727 383660 463636 575490 579545 594673 695454 1150980 1159090 1189346 1390908 1738635 1784019 2318180 2378692 2973365 3477270 3568038 5946730 6954540 7136076 8920095 11893460 17840190 35680380 71725237 143450474 215175711 286900948 358626185 430351422 717252370 860702844 1075878555 1434504740 2151757110 2223482347 4303514220 4446964694 6670447041 8893929388 11117411735 13340894082 22234823470 26681788164 33352235205 44469646940 66704470410 133408940820