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5354114532 = 22313318313339
BaseRepresentation
bin1001111110010000…
…10100110111100100
3111211010201012101020
410333020110313210
541431123131112
62243141131140
7246452136234
oct47710246744
914733635336
105354114532
1122a8292548
1210550b9ab0
13674325810
1438b11dcc4
152150a448c
hex13f214de4

5354114532 has 96 divisors (see below), whose sum is σ = 14056304640. Its totient is φ = 1574951040.

The previous prime is 5354114527. The next prime is 5354114533. The reversal of 5354114532 is 2354114535.

It is a junction number, because it is equal to n+sod(n) for n = 5354114493 and 5354114502.

It is not an unprimeable number, because it can be changed into a prime (5354114533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394719 + ... + 408057.

It is an arithmetic number, because the mean of its divisors is an integer number (146419840).

Almost surely, 25354114532 is an apocalyptic number.

5354114532 is a gapful number since it is divisible by the number (52) 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 5354114532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028152320).

5354114532 is an abundant number, since it is smaller than the sum of its proper divisors (8702190108).

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

5354114532 is a wasteful number, since it uses less digits than its factorization.

5354114532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13473 (or 13471 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 5354114532 is about 73171.8151476373. The cubic root of 5354114532 is about 1749.4272446185.

The spelling of 5354114532 in words is "five billion, three hundred fifty-four million, one hundred fourteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 83 93 124 156 166 186 249 332 372 403 498 806 996 1079 1209 1612 2158 2418 2573 3237 4316 4836 5146 6474 7719 10292 12948 13339 15438 26678 30876 33449 40017 53356 66898 80034 100347 133796 160068 173407 200694 346814 401388 413509 520221 693628 827018 1040442 1107137 1240527 1654036 2080884 2214274 2481054 3321411 4428548 4962108 5375617 6642822 10751234 13285644 14392781 16126851 21502468 28785562 32253702 34321247 43178343 57571124 64507404 68642494 86356686 102963741 137284988 172713372 205927482 411854964 446176211 892352422 1338528633 1784704844 2677057266 5354114532