Search a number
-
+
36160431360 = 283547200357
BaseRepresentation
bin100001101011010101…
…000110010100000000
310110100002020020111120
4201223111012110000
51043024032300420
624340055312240
72420042411064
oct415325062400
9113302206446
1036160431360
1114376691319
12701207b680
133543772a61
141a70699aa4
15e198a1d40
hex86b546500

36160431360 has 144 divisors (see below), whose sum is σ = 117945144576. Its totient is φ = 9437569024.

The previous prime is 36160431319. The next prime is 36160431361. The reversal of 36160431360 is 6313406163.

It is a super-2 number, since 2×361604313602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36160431361) 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, 80302 + ... + 280658.

It is an arithmetic number, because the mean of its divisors is an integer number (819063504).

Almost surely, 236160431360 is an apocalyptic number.

36160431360 is a gapful number since it is divisible by the number (30) 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 36160431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58972572288).

36160431360 is an abundant number, since it is smaller than the sum of its proper divisors (81784713216).

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

36160431360 is a wasteful number, since it uses less digits than its factorization.

36160431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200428 (or 200414 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 36160431360 in words is "thirty-six billion, one hundred sixty million, four hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 256 282 320 376 384 470 480 564 640 705 752 768 940 960 1128 1280 1410 1504 1880 1920 2256 2820 3008 3760 3840 4512 5640 6016 7520 9024 11280 12032 15040 18048 22560 30080 36096 45120 60160 90240 180480 200357 400714 601071 801428 1001785 1202142 1602856 2003570 2404284 3005355 3205712 4007140 4808568 6010710 6411424 8014280 9416779 9617136 12021420 12822848 16028560 18833558 19234272 24042840 25645696 28250337 32057120 37667116 38468544 47083895 48085680 51291392 56500674 64114240 75334232 76937088 94167790 96171360 113001348 128228480 141251685 150668464 153874176 188335580 192342720 226002696 256456960 282503370 301336928 376671160 384685440 452005392 565006740 602673856 753342320 769370880 904010784 1130013480 1205347712 1506684640 1808021568 2260026960 2410695424 3013369280 3616043136 4520053920 6026738560 7232086272 9040107840 12053477120 18080215680 36160431360