Search a number
-
+
45820673760 = 253597984121
BaseRepresentation
bin101010101011000111…
…111111111011100000
311101021022200101211010
4222223013333323200
51222320043030020
633014424020520
73211323205101
oct525307777340
9141238611733
1045820673760
1118483637424
128a69301740
134422c52014
14230965a3a8
1512d29eade0
hexaab1ffee0

45820673760 has 96 divisors (see below), whose sum is σ = 145823261472. Its totient is φ = 12092866560.

The previous prime is 45820673753. The next prime is 45820673797. The reversal of 45820673760 is 6737602854.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 445501 + ... + 538620.

It is an arithmetic number, because the mean of its divisors is an integer number (1518992307).

Almost surely, 245820673760 is an apocalyptic number.

45820673760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45820673760 is an abundant number, since it is smaller than the sum of its proper divisors (100002587712).

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

45820673760 is a wasteful number, since it uses less digits than its factorization.

45820673760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984236 (or 984228 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 45820673760 in words is "forty-five billion, eight hundred twenty million, six hundred seventy-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1455 1552 1940 2328 2910 3104 3880 4656 5820 7760 9312 11640 15520 23280 46560 984121 1968242 2952363 3936484 4920605 5904726 7872968 9841210 11809452 14761815 15745936 19682420 23618904 29523630 31491872 39364840 47237808 59047260 78729680 94475616 95459737 118094520 157459360 190919474 236189040 286379211 381838948 472378080 477298685 572758422 763677896 954597370 1145516844 1431896055 1527355792 1909194740 2291033688 2863792110 3054711584 3818389480 4582067376 5727584220 7636778960 9164134752 11455168440 15273557920 22910336880 45820673760