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2625398014864 = 243127321792
BaseRepresentation
bin100110001101000101111…
…010101000001110010000
3100021222121111112202000111
4212031011322220032100
5321003303342433424
65330031410531104
7360451544630452
oct46150572501620
910258544482014
102625398014864
1192247480a909
123649a0596a94
13160760022c31
14910d9cc62d2
154845c93d194
hex26345ea8390

2625398014864 has 135 divisors (see below), whose sum is σ = 5359014409329. Its totient is φ = 1245952039680.

The previous prime is 2625398014817. The next prime is 2625398014879. The reversal of 2625398014864 is 4684108935262.

It is a happy number.

The square root of 2625398014864 is 1620308.

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

It can be written as a sum of positive squares in only one way, i.e., 1490303808400 + 1135094206464 = 1220780^2 + 1065408^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2625398014799 and 2625398014808.

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, 14667027927 + ... + 14667028105.

Almost surely, 22625398014864 is an apocalyptic number.

2625398014864 is the 1620308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625398014864

2625398014864 is an abundant number, since it is smaller than the sum of its proper divisors (2733616394465).

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

2625398014864 is an frugal number, since it uses more digits than its factorization.

2625398014864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 2625398014864 in words is "two trillion, six hundred twenty-five billion, three hundred ninety-eight million, fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 73 124 146 179 248 292 358 496 584 716 961 1168 1432 1922 2263 2864 3844 4526 5329 5549 7688 9052 10658 11098 13067 15376 18104 21316 22196 26134 32041 36208 42632 44392 52268 64082 70153 85264 88784 104536 128164 140306 165199 172019 209072 256328 280612 330398 344038 405077 512656 561224 660796 688076 810154 953891 993271 1122448 1321592 1376152 1620308 1907782 1986542 2338993 2643184 2752304 3240616 3815564 3973084 4677986 5121169 6481232 7631128 7946168 9355972 10242338 12557387 15262256 15892336 18711944 20484676 25114774 29570621 30791401 37423888 40969352 50229548 59141242 61582802 72508783 81938704 100459096 118282484 123165604 145017566 170746489 200918192 236564968 246331208 290035132 341492978 473129936 492662416 580070264 682985956 916689251 1160140528 1365971912 1833378502 2247772273 2731943824 3666757004 4495544546 5293141159 7333514008 8991089092 10586282318 14667028016 17982178184 21172564636 35964356368 42345129272 84690258544 164087375929 328174751858 656349503716 1312699007432 2625398014864