Search a number
-
+
50123641664 = 262353719049
BaseRepresentation
bin101110101011100110…
…100001001101000000
311210101012110211002202
4232223212201031000
51310123123013124
635005415332332
73423052632035
oct565346411500
9153335424082
1050123641664
111a291541948
12986a3810a8
13495a570385
1425d6d1738c
1514856695ae
hexbab9a1340

50123641664 has 112 divisors (see below), whose sum is σ = 107248147200. Its totient is φ = 23186042880.

The previous prime is 50123641597. The next prime is 50123641679. The reversal of 50123641664 is 46614632105.

It is a super-2 number, since 2×501236416642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5534612 + ... + 5543660.

Almost surely, 250123641664 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 50123641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53624073600).

50123641664 is an abundant number, since it is smaller than the sum of its proper divisors (57124505536).

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

50123641664 is a wasteful number, since it uses less digits than its factorization.

50123641664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9208 (or 9198 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 50123641664 in words is "fifty billion, one hundred twenty-three million, six hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 53 64 71 92 106 142 184 212 284 368 424 568 736 848 1136 1219 1472 1633 1696 2272 2438 3266 3392 3763 4544 4876 6532 7526 9049 9752 13064 15052 18098 19504 26128 30104 36196 39008 52256 60208 72392 78016 86549 104512 120416 144784 173098 208127 240832 289568 346196 416254 479597 579136 642479 692392 832508 959194 1284958 1384784 1665016 1918388 2569916 2769568 3330032 3836776 5139832 5539136 6660064 7673552 10279664 11030731 13320128 14777017 15347104 20559328 22061462 29554034 30694208 34051387 41118656 44122924 59108068 68102774 88245848 118216136 136205548 176491696 236432272 272411096 352983392 472864544 544822192 705966784 783181901 945729088 1089644384 1566363802 2179288768 3132727604 6265455208 12530910416 25061820832 50123641664