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5362171146 = 23219891131559
BaseRepresentation
bin1001111111001110…
…00011110100001010
3111211200212111222100
410333213003310022
541440203434041
62244025534230
7246610463013
oct47747036412
914750774870
105362171146
112301895602
121057944376
13675bb6947
1438c21a00a
15215b466b6
hex13f9c3d0a

5362171146 has 96 divisors (see below), whose sum is σ = 12484368000. Its totient is φ = 1658409984.

The previous prime is 5362171123. The next prime is 5362171147. The reversal of 5362171146 is 6411712635.

5362171146 is a `hidden beast` number, since 536 + 2 + 1 + 7 + 114 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5362171146.

It is not an unprimeable number, because it can be changed into a prime (5362171147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3438715 + ... + 3440273.

It is an arithmetic number, because the mean of its divisors is an integer number (130045500).

Almost surely, 25362171146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5362171146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242184000).

5362171146 is an abundant number, since it is smaller than the sum of its proper divisors (7122196854).

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

5362171146 is a wasteful number, since it uses less digits than its factorization.

5362171146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1785 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5362171146 is about 73226.8471668691. The cubic root of 5362171146 is about 1750.3042895089.

The spelling of 5362171146 in words is "five billion, three hundred sixty-two million, one hundred seventy-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 89 113 114 171 178 226 267 339 342 534 678 801 1017 1559 1602 1691 2034 2147 3118 3382 4294 4677 5073 6441 9354 10057 10146 12882 14031 15219 19323 20114 28062 29621 30171 30438 38646 59242 60342 88863 90513 138751 176167 177726 181026 191083 266589 277502 352334 382166 416253 528501 533178 573249 832506 1057002 1146498 1248759 1585503 1719747 2497518 2636269 3171006 3347173 3439494 5272538 6694346 7908807 10041519 15678863 15817614 20083038 23726421 30124557 31357726 47036589 47452842 60249114 94073178 141109767 282219534 297898397 595796794 893695191 1787390382 2681085573 5362171146