Search a number
-
+
133060357856 = 2537137883929
BaseRepresentation
bin111101111101100000…
…0111110111011100000
3110201110012112112101002
41323323000332323200
54140001422422411
6141043241131132
712420234244316
oct1737300767340
9421405475332
10133060357856
11514811152a8
1221955789aa8
13c716c2cb7a
146623b040b6
1536db87b33b
hex1efb03eee0

133060357856 has 96 divisors (see below), whose sum is σ = 271605428640. Its totient is φ = 64117702656.

The previous prime is 133060357849. The next prime is 133060357949. The reversal of 133060357856 is 658753060331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 133060357856.

It is a congruent number.

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, 143229200 + ... + 143230128.

It is an arithmetic number, because the mean of its divisors is an integer number (2829223215).

Almost surely, 2133060357856 is an apocalyptic number.

133060357856 is a gapful number since it is divisible by the number (16) 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 133060357856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135802714320).

133060357856 is an abundant number, since it is smaller than the sum of its proper divisors (138545070784).

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

133060357856 is a wasteful number, since it uses less digits than its factorization.

133060357856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 47.

The spelling of 133060357856 in words is "one hundred thirty-three billion, sixty million, three hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 74 137 148 274 296 548 592 883 929 1096 1184 1766 1858 2192 3532 3716 4384 5069 7064 7432 10138 14128 14864 20276 28256 29728 32671 34373 40552 65342 68746 81104 120971 127273 130684 137492 162208 241942 254546 261368 274984 483884 509092 522736 549968 820307 967768 1018184 1045472 1099936 1640614 1935536 2036368 3281228 3871072 4072736 4475927 4709101 6562456 8951854 9418202 13124912 17903708 18836404 26249824 30351359 35807416 37672808 60702718 71614832 75345616 112382059 121405436 143229664 150691232 224764118 242810872 449528236 485621744 899056472 971243488 1798112944 3596225888 4158136183 8316272366 16632544732 33265089464 66530178928 133060357856