Search a number
-
+
56936237952 = 2731118617243
BaseRepresentation
bin110101000001101010…
…100000101110000000
312102221222120120022210
4311001222200232000
51413101134103302
642053421102120
74053635015556
oct650152405600
9172858516283
1056936237952
1122168027310
12b04b9b7940
1354a4aac539
142a81a0dbd6
1517337b666c
hexd41aa0b80

56936237952 has 128 divisors (see below), whose sum is σ = 165097134720. Its totient is φ = 17241753600.

The previous prime is 56936237923. The next prime is 56936237959. The reversal of 56936237952 is 25973263965.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 56936237892 and 56936237901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56936237959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7857243 + ... + 7864485.

It is an arithmetic number, because the mean of its divisors is an integer number (1289821365).

Almost surely, 256936237952 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 56936237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82548567360).

56936237952 is an abundant number, since it is smaller than the sum of its proper divisors (108160896768).

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

56936237952 is a wasteful number, since it uses less digits than its factorization.

56936237952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9120 counting only the distinct ones).

The product of its digits is 18370800, while the sum is 57.

The spelling of 56936237952 in words is "fifty-six billion, nine hundred thirty-six million, two hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 1861 2112 3722 4224 5583 7243 7444 11166 14486 14888 20471 21729 22332 28972 29776 40942 43458 44664 57944 59552 61413 79673 81884 86916 89328 115888 119104 122826 159346 163768 173832 178656 231776 238208 239019 245652 318692 327536 347664 357312 463552 478038 491304 637384 655072 695328 714624 927104 956076 982608 1274768 1310144 1390656 1912152 1965216 2549536 2620288 2781312 3824304 3930432 5099072 7648608 7860864 10198144 13479223 15297216 26958446 30594432 40437669 53916892 80875338 107833784 148271453 161750676 215667568 296542906 323501352 431335136 444814359 593085812 647002704 862670272 889628718 1186171624 1294005408 1725340544 1779257436 2372343248 2588010816 3558514872 4744686496 5176021632 7117029744 9489372992 14234059488 18978745984 28468118976 56936237952