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5343101595225 = 345231216572
BaseRepresentation
bin100110111000000100110…
…1011000010111001011001
3200220210110221022001110000
41031300021223002321121
51200020133002021400
615210330442243213
71061012016126132
oct115601153027131
920823427261400
105343101595225
11177aaa6613239
12723641ab6509
132c9b1070b574
14146870d86c89
1593ebdd28600
hex4dc09ac2e59

5343101595225 has 135 divisors (see below), whose sum is σ = 10233012517101. Its totient is φ = 2756065564800.

The previous prime is 5343101595211. The next prime is 5343101595239. The reversal of 5343101595225 is 5225951013435.

The square root of 5343101595225 is 2311515.

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

5343101595225 is a `hidden beast` number, since 5 + 3 + 4 + 31 + 0 + 1 + 595 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (5343101595211) and next prime (5343101595239).

It can be written as a sum of positive squares in 4 ways, for example, as 553674392649 + 4789427202576 = 744093^2 + 2188476^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 5343101595225 - 29 = 5343101594713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3224562597 + ... + 3224564253.

Almost surely, 25343101595225 is an apocalyptic number.

5343101595225 is the 2311515-th square number.

5343101595225 is the 1155758-th centered octagonal number.

It is an amenable number.

5343101595225 is a deficient number, since it is larger than the sum of its proper divisors (4889910921876).

5343101595225 is an frugal number, since it uses more digits than its factorization.

5343101595225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 5343101595225 in words is "five trillion, three hundred forty-three billion, one hundred one million, five hundred ninety-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 81 93 135 155 225 279 405 465 675 775 837 961 1395 1657 2025 2325 2511 2883 4185 4805 4971 6975 8285 8649 12555 14415 14913 20925 24025 24855 25947 41425 43245 44739 51367 62775 72075 74565 77841 124275 129735 134217 154101 216225 223695 256835 372825 389205 462303 648675 671085 770505 1118475 1284175 1386909 1592377 1946025 2311515 2745649 3355425 3852525 4160727 4777131 6934545 7961885 8236947 11557575 13728245 14331393 20803635 23885655 24710841 34672725 39809425 41184735 42994179 68641225 71656965 74132523 85115119 104018175 119428275 123554205 128982537 205923675 214970895 222397569 255345357 358284825 370662615 425575595 617771025 644912685 766036071 1074854475 1111987845 1276726785 1853313075 2127877975 2298108213 2638568689 3224563425 3830180355 5559939225 6383633925 6894324639 7915706067 11490541065 13192843445 19150901775 23747118201 34471623195 39578530335 57452705325 65964217225 71241354603 118735591005 172358115975 197892651675 213724063809 356206773015 593677955025 1068620319045 1781033865075 5343101595225