Search a number
-
+
46373151356 = 2273236124091
BaseRepresentation
bin101011001100000011…
…100010001001111100
311102200211021011121022
4223030003202021330
51224433011320411
633145321323312
73231112166000
oct531403421174
9142624234538
1046373151356
1118737486a84
128ba2336538
1344b054c13c
14235cb92700
15131627cedb
hexacc0e227c

46373151356 has 96 divisors (see below), whose sum is σ = 100376908800. Its totient is φ = 18697694400.

The previous prime is 46373151353. The next prime is 46373151371. The reversal of 46373151356 is 65315137364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46373151353) 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, 1912871 + ... + 1936961.

It is an arithmetic number, because the mean of its divisors is an integer number (1045592800).

Almost surely, 246373151356 is an apocalyptic number.

46373151356 is a gapful number since it is divisible by the number (46) 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 46373151356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50188454400).

46373151356 is an abundant number, since it is smaller than the sum of its proper divisors (54003757444).

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

46373151356 is a wasteful number, since it uses less digits than its factorization.

46373151356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24200 (or 24184 counting only the distinct ones).

The product of its digits is 680400, while the sum is 44.

The spelling of 46373151356 in words is "forty-six billion, three hundred seventy-three million, one hundred fifty-one thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 23 28 46 49 61 92 98 122 161 196 244 322 343 427 644 686 854 1127 1372 1403 1708 2254 2806 2989 4508 5612 5978 7889 9821 11956 15778 19642 20923 24091 31556 39284 41846 48182 68747 83692 96364 137494 168637 274988 337274 481229 554093 674548 962458 1108186 1180459 1469551 1924916 2216372 2360918 2939102 3878651 4721836 5878204 7757302 8263213 10286857 15514604 16526426 20573714 27150557 33052852 33799673 41147428 54301114 67599346 72007999 108602228 135198692 144015998 190053899 236597711 288031996 380107798 473195422 504055993 760215596 946390844 1008111986 1656183977 2016223972 3312367954 6624735908 11593287839 23186575678 46373151356