Search a number
-
+
57361594992 = 24313314876089
BaseRepresentation
bin110101011011000001…
…000111101001110000
312111001121221221111020
4311123001013221300
51414434032014432
642203534015440
74100321340552
oct653301075160
9174047857436
1057361594992
1122366141359
12b14a347580
135541c5b6b0
142ac22d54d2
15175acd822c
hexd5b047a70

57361594992 has 160 divisors (see below), whose sum is σ = 165096099840. Its totient is φ = 17042503680.

The previous prime is 57361594987. The next prime is 57361595047. The reversal of 57361594992 is 29949516375.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9417484 + ... + 9423572.

It is an arithmetic number, because the mean of its divisors is an integer number (1031850624).

Almost surely, 257361594992 is an apocalyptic number.

57361594992 is a gapful number since it is divisible by the number (52) 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 57361594992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82548049920).

57361594992 is an abundant number, since it is smaller than the sum of its proper divisors (107734504848).

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

57361594992 is a wasteful number, since it uses less digits than its factorization.

57361594992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631 (or 6625 counting only the distinct ones).

The product of its digits is 18370800, while the sum is 60.

The spelling of 57361594992 in words is "fifty-seven billion, three hundred sixty-one million, five hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 487 496 624 744 806 974 1209 1461 1488 1612 1948 2418 2922 3224 3896 4836 5844 6089 6331 6448 7792 9672 11688 12178 12662 15097 18267 18993 19344 23376 24356 25324 30194 36534 37986 45291 48712 50648 60388 73068 75972 79157 90582 97424 101296 120776 146136 151944 158314 181164 188759 196261 237471 241552 292272 303888 316628 362328 377518 392522 474942 566277 588783 633256 724656 755036 785044 949884 1132554 1177566 1266512 1510072 1570088 1899768 2265108 2355132 2453867 2965343 3020144 3140176 3799536 4530216 4710264 4907734 5930686 7361601 8896029 9060432 9420528 9815468 11861372 14723202 17792058 19630936 23722744 29446404 35584116 38549459 39261872 47445488 58892808 71168232 77098918 91925633 115648377 117785616 142336464 154197836 183851266 231296754 275776899 308395672 367702532 462593508 551553798 616791344 735405064 925187016 1103107596 1195033229 1470810128 1850374032 2206215192 2390066458 3585099687 4412430384 4780132916 7170199374 9560265832 14340398748 19120531664 28680797496 57361594992