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66052054971 = 32723416911609
BaseRepresentation
bin111101100001000000…
…100101111110111011
320022111021121001102100
4331201000211332323
52040233311224341
650202140434443
74525555126560
oct754100457673
9208437531370
1066052054971
1126015732591
1210974848a23
1362c85507c6
1432a8572867
151ab8c1e3b6
hexf61025fbb

66052054971 has 96 divisors (see below), whose sum is σ = 116795427840. Its totient is φ = 35149593600.

The previous prime is 66052054951. The next prime is 66052054973. The reversal of 66052054971 is 17945025066.

66052054971 is a `hidden beast` number, since 6 + 6 + 0 + 520 + 54 + 9 + 71 = 666.

It is not a de Polignac number, because 66052054971 - 211 = 66052052923 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66052054973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41050815 + ... + 41052423.

It is an arithmetic number, because the mean of its divisors is an integer number (1216619040).

Almost surely, 266052054971 is an apocalyptic number.

66052054971 is a deficient number, since it is larger than the sum of its proper divisors (50743372869).

66052054971 is a wasteful number, since it uses less digits than its factorization.

66052054971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 66052054971 in words is "sixty-six billion, fifty-two million, fifty-four thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 21 23 41 63 69 123 161 207 287 369 483 691 861 943 1449 1609 2073 2583 2829 4827 4837 6219 6601 8487 11263 14481 14511 15893 19803 28331 33789 37007 43533 47679 59409 65969 84993 101367 111021 111251 143037 197907 198317 254979 259049 333063 333753 461783 593721 594951 651613 777147 1001259 1111819 1385349 1517287 1784853 1954839 2331441 3335457 4156047 4551861 4561291 5864517 7782733 10006371 10621009 13655583 13683873 23348199 25571837 31863027 41051619 45584579 70044597 76715511 95589081 136753737 179002859 230146533 319092053 410261211 537008577 957276159 1048445317 1611025731 2871828477 3145335951 7339117219 9436007853 22017351657 66052054971