Search a number
-
+
57122610972 = 223714935912713
BaseRepresentation
bin110101001100110001…
…011101111100011100
312110102222021022001020
4311030301131330130
51413441342022342
642124115444140
74061360116260
oct651461357434
9173388238036
1057122610972
11222532520a9
12b0a22b6650
1355045a512b
142a9c6860a0
151744d2d0ec
hexd4cc5df1c

57122610972 has 96 divisors (see below), whose sum is σ = 153788544000. Its totient is φ = 16164782592.

The previous prime is 57122610929. The next prime is 57122610977. The reversal of 57122610972 is 27901622175.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57122610977) 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, 4486888 + ... + 4499600.

It is an arithmetic number, because the mean of its divisors is an integer number (1601964000).

Almost surely, 257122610972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57122610972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76894272000).

57122610972 is an abundant number, since it is smaller than the sum of its proper divisors (96665933028).

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

57122610972 is a wasteful number, since it uses less digits than its factorization.

57122610972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13235 (or 13233 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 57122610972 in words is "fifty-seven billion, one hundred twenty-two million, six hundred ten thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 359 447 596 718 894 1043 1077 1436 1788 2086 2154 2513 3129 4172 4308 5026 6258 7539 10052 12516 12713 15078 25426 30156 38139 50852 53491 76278 88991 106982 152556 160473 177982 213964 266973 320946 355964 374437 533946 641892 748874 1067892 1123311 1497748 1894237 2246622 3788474 4493244 4563967 5682711 7576948 9127934 11365422 13259659 13691901 18255868 22730844 26519318 27383802 31947769 39778977 53038636 54767604 63895538 79557954 95843307 127791076 159115908 191686614 383373228 680031083 1360062166 2040093249 2720124332 4080186498 4760217581 8160372996 9520435162 14280652743 19040870324 28561305486 57122610972