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5305415454 = 23217311075227
BaseRepresentation
bin1001111000011101…
…00011011100011110
3111200202002000210200
410330032203130132
541331141243304
62234241244330
7245321200353
oct47416433436
914622060720
105305415454
112282850179
1210409336a6
136672045b1
1438488462a
15210b84e39
hex13c3a371e

5305415454 has 96 divisors (see below), whose sum is σ = 12683713536. Its totient is φ = 1595393280.

The previous prime is 5305415441. The next prime is 5305415461. The reversal of 5305415454 is 4545145035.

It is a super-2 number, since 2×53054154542 = 56294866279084052232, which 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 47 ways as a sum of consecutive naturals, for example, 1012389 + ... + 1017615.

It is an arithmetic number, because the mean of its divisors is an integer number (132122016).

Almost surely, 25305415454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305415454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341856768).

5305415454 is an abundant number, since it is smaller than the sum of its proper divisors (7378298082).

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

5305415454 is a wasteful number, since it uses less digits than its factorization.

5305415454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 5305415454 is about 72838.2828875036. The cubic root of 5305415454 is about 1744.1070303583.

The spelling of 5305415454 in words is "five billion, three hundred five million, four hundred fifteen thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 107 153 186 214 279 306 321 527 558 642 963 1054 1581 1819 1926 3162 3317 3638 4743 5227 5457 6634 9486 9951 10454 10914 15681 16371 19902 29853 31362 32742 47043 56389 59706 88859 94086 112778 162037 169167 177718 266577 324074 338334 486111 507501 533154 559289 799731 972222 1015002 1118578 1458333 1599462 1677867 2754629 2916666 3355734 5033601 5509258 8263887 9507913 10067202 16527774 17337959 19015826 24791661 28523739 34675918 49583322 52013877 57047478 85571217 104027754 156041631 171142434 294745303 312083262 589490606 884235909 1768471818 2652707727 5305415454