Search a number
-
+
156644256252 = 223114797126003
BaseRepresentation
bin1001000111100010111…
…0011010100111111100
3112222022210210200222110
42101320232122213330
510031301412200002
6155543354014020
714213535131511
oct2217056324774
9488283720873
10156644256252
1160483665220
1226437a17310
1311a04c6aa33
14781dd87308
15411c077e6c
hex2478b9a9fc

156644256252 has 96 divisors (see below), whose sum is σ = 407649521664. Its totient is φ = 46408369600.

The previous prime is 156644256229. The next prime is 156644256271. The reversal of 156644256252 is 252652446651.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6011083 + ... + 6037085.

It is an arithmetic number, because the mean of its divisors is an integer number (4246349184).

Almost surely, 2156644256252 is an apocalyptic number.

156644256252 is a gapful number since it is divisible by the number (12) 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 156644256252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203824760832).

156644256252 is an abundant number, since it is smaller than the sum of its proper divisors (251005265412).

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

156644256252 is a wasteful number, since it uses less digits than its factorization.

156644256252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27039 (or 27037 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 48.

The spelling of 156644256252 in words is "one hundred fifty-six billion, six hundred forty-four million, two hundred fifty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 971 1034 1551 1942 2068 2913 3102 3884 5826 6204 10681 11652 21362 26003 32043 42724 45637 52006 64086 78009 91274 104012 128172 136911 156018 182548 273822 286033 312036 502007 547644 572066 858099 1004014 1144132 1222141 1506021 1716198 2008028 2444282 3012042 3432396 3666423 4888564 6024084 7332846 13443551 14665692 25248913 26887102 40330653 50497826 53774204 75746739 80661306 100995652 151493478 161322612 277738043 302986956 555476086 833214129 1110952172 1186698911 1666428258 2373397822 3332856516 3560096733 4746795644 7120193466 13053688021 14240386932 26107376042 39161064063 52214752084 78322128126 156644256252