Search a number
-
+
56132053600 = 2552761164321
BaseRepresentation
bin110100010001101110…
…110010101001100000
312100212221100202210011
4310101232302221200
51404424301203400
641441532414304
74025001404020
oct642156625140
9170787322704
1056132053600
1121895098747
12aa66617394
1353a72c2bcc
142a06cb5a80
1516d7db48ba
hexd11bb2a60

56132053600 has 144 divisors (see below), whose sum is σ = 159176749536. Its totient is φ = 18929664000.

The previous prime is 56132053591. The next prime is 56132053673. The reversal of 56132053600 is 635023165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259440 + ... + 423760.

It is an arithmetic number, because the mean of its divisors is an integer number (1105394094).

Almost surely, 256132053600 is an apocalyptic number.

56132053600 is a gapful number since it is divisible by the number (50) 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 56132053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79588374768).

56132053600 is an abundant number, since it is smaller than the sum of its proper divisors (103044695936).

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

56132053600 is a wasteful number, since it uses less digits than its factorization.

56132053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164409 (or 164396 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 56132053600 its reverse (635023165), we get a palindrome (56767076765).

The spelling of 56132053600 in words is "fifty-six billion, one hundred thirty-two million, fifty-three thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 61 70 80 100 112 122 140 160 175 200 224 244 280 305 350 400 427 488 560 610 700 800 854 976 1120 1220 1400 1525 1708 1952 2135 2440 2800 3050 3416 4270 4880 5600 6100 6832 8540 9760 10675 12200 13664 17080 21350 24400 34160 42700 48800 68320 85400 164321 170800 328642 341600 657284 821605 1150247 1314568 1643210 2300494 2629136 3286420 4108025 4600988 5258272 5751235 6572840 8216050 9201976 10023581 11502470 13145680 16432100 18403952 20047162 23004940 26291360 28756175 32864200 36807904 40094324 46009880 50117905 57512350 65728400 70165067 80188648 92019760 100235810 115024700 131456800 140330134 160377296 184039520 200471620 230049400 250589525 280660268 320754592 350825335 400943240 460098800 501179050 561320536 701650670 801886480 920197600 1002358100 1122641072 1403301340 1603772960 1754126675 2004716200 2245282144 2806602680 3508253350 4009432400 5613205360 7016506700 8018864800 11226410720 14033013400 28066026800 56132053600