Search a number
-
+
51150601560 = 23352416312803
BaseRepresentation
bin101111101000110100…
…000011110101011000
311220000202212210020110
4233220310003311120
51314224023222220
635255342524320
73460362640152
oct575064036530
9156022783213
1051150601560
111a7691aa033
129ab62966a0
134a92259856
142693481ad2
1514e58c3be0
hexbe8d03d58

51150601560 has 128 divisors (see below), whose sum is σ = 154387791360. Its totient is φ = 13557196800.

The previous prime is 51150601553. The next prime is 51150601573. The reversal of 51150601560 is 6510605115.

51150601560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18247119 + ... + 18249921.

It is an arithmetic number, because the mean of its divisors is an integer number (1206154620).

Almost surely, 251150601560 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 51150601560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77193895680).

51150601560 is an abundant number, since it is smaller than the sum of its proper divisors (103237189800).

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

51150601560 is a wasteful number, since it uses less digits than its factorization.

51150601560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 51150601560 in words is "fifty-one billion, one hundred fifty million, six hundred one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 631 723 964 1205 1262 1446 1893 1928 2410 2524 2803 2892 3155 3615 3786 4820 5048 5606 5784 6310 7230 7572 8409 9465 9640 11212 12620 14015 14460 15144 16818 18930 22424 25240 28030 28920 33636 37860 42045 56060 67272 75720 84090 112120 152071 168180 304142 336360 456213 608284 675523 760355 912426 1216568 1351046 1520710 1768693 1824852 2026569 2281065 2702092 3041420 3377615 3537386 3649704 4053138 4562130 5306079 5404184 6082840 6755230 7074772 8106276 8843465 9124260 10132845 10612158 13510460 14149544 16212552 17686930 18248520 20265690 21224316 26530395 27020920 35373860 40531380 42448632 53060790 70747720 81062760 106121580 212243160 426255013 852510026 1278765039 1705020052 2131275065 2557530078 3410040104 4262550130 5115060156 6393825195 8525100260 10230120312 12787650390 17050200520 25575300780 51150601560