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67048191383616 = 26323411792
BaseRepresentation
bin11110011111010110111111…
…01000010101100001000000
322210101202002201221102201100
433033223133220111201000
532242004143443233431
6354333303000334400
720060033454256422
oct1717533750254100
9283352081842640
1067048191383616
111a3aaa84103213
12762a47b774400
132b5480432a911
14127b214dc2812
157b4125e8a4e6
hex3cfadfa15840

67048191383616 has 63 divisors (see below), whose sum is σ = 192182097965871. Its totient is φ = 22349331621504.

The previous prime is 67048191383599. The next prime is 67048191383651. The reversal of 67048191383616 is 61638319184076.

The square root of 67048191383616 is 8188296.

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

67048191383616 is a `hidden beast` number, since 6 + 7 + 0 + 4 + 8 + 1 + 9 + 1 + 3 + 8 + 3 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 196348515 + ... + 196689693.

Almost surely, 267048191383616 is an apocalyptic number.

67048191383616 is the 8188296-th square number.

It is an amenable number.

67048191383616 is an abundant number, since it is smaller than the sum of its proper divisors (125133906582255).

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

67048191383616 is an frugal number, since it uses more digits than its factorization.

67048191383616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682376 (or 341184 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 67048191383616 in words is "sixty-seven trillion, forty-eight billion, one hundred ninety-one million, three hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 341179 682358 1023537 1364716 2047074 2729432 3070611 4094148 5458864 6141222 8188296 10917728 12282444 16376592 21835456 24564888 32753184 49129776 65506368 98259552 196519104 116403110041 232806220082 349209330123 465612440164 698418660246 931224880328 1047627990369 1396837320492 1862449760656 2095255980738 2793674640984 3724899521312 4190511961476 5587349281968 7449799042624 8381023922952 11174698563936 16762047845904 22349397127872 33524095691808 67048191383616