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5430568408164 = 223241294732
BaseRepresentation
bin100111100000110011100…
…0110011101010001100100
3201020011020122112112012100
41033001213012131101210
51202433301003030124
615314434011452100
71100226355562514
oct117014706352144
921204218475170
105430568408164
1118041003233a9
12738592457030
1330513c781893
1414abab675844
15963dcac11c9
hex4f06719d464

5430568408164 has 81 divisors (see below), whose sum is σ = 14071733199979. Its totient is φ = 1765852078080.

The previous prime is 5430568408159. The next prime is 5430568408171. The reversal of 5430568408164 is 4618048650345.

The square root of 5430568408164 is 2330358.

It is a perfect power (a square), and thus also a powerful number.

5430568408164 is a `hidden beast` number, since 5 + 4 + 30 + 568 + 40 + 8 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17463622500 + 5413104785664 = 132150^2 + 2326608^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5430568408164.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 573263332 + ... + 573272804.

Almost surely, 25430568408164 is an apocalyptic number.

5430568408164 is the 2330358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5430568408164

5430568408164 is an abundant number, since it is smaller than the sum of its proper divisors (8641164791815).

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

5430568408164 is an frugal number, since it uses more digits than its factorization.

5430568408164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19038 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 5430568408164 in words is "five trillion, four hundred thirty billion, five hundred sixty-eight million, four hundred eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3362 5043 6724 9473 10086 15129 18946 20172 28419 30258 37892 56838 60516 85257 113676 170514 341028 388393 776786 1165179 1553572 2330358 3495537 4660716 6991074 13982148 15924113 31848226 47772339 63696452 89737729 95544678 143317017 179475458 191089356 269213187 286634034 358950916 538426374 573268068 807639561 1076852748 1615279122 3230558244 3679246889 7358493778 11037740667 14716987556 22075481334 33113222001 44150962668 66226444002 132452888004 150849122449 301698244898 452547367347 603396489796 905094734694 1357642102041 1810189469388 2715284204082 5430568408164