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66546533430 = 23251324793089
BaseRepresentation
bin111101111110011110…
…111000010000110110
320100202202001011100100
4331332132320100312
52042241403032210
650323203054530
74544041125666
oct757636702066
9210682034310
1066546533430
1126249868573
1210a92371446
136376b21600
1433140cc1a6
151ae73465c0
hexf7e7b8436

66546533430 has 144 divisors (see below), whose sum is σ = 191342399040. Its totient is φ = 16031987712.

The previous prime is 66546533423. The next prime is 66546533453. The reversal of 66546533430 is 3433564566.

66546533430 is a `hidden beast` number, since 66 + 54 + 6 + 533 + 4 + 3 + 0 = 666.

It is a super-2 number, since 2×665465334302 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 668326 + ... + 761414.

It is an arithmetic number, because the mean of its divisors is an integer number (1328766660).

Almost surely, 266546533430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66546533430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95671199520).

66546533430 is an abundant number, since it is smaller than the sum of its proper divisors (124795865610).

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

66546533430 is a wasteful number, since it uses less digits than its factorization.

66546533430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93175 (or 93159 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 66546533430 in words is "sixty-six billion, five hundred forty-six million, five hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 47 65 78 90 94 117 130 141 169 195 234 235 282 338 390 423 470 507 585 611 705 845 846 1014 1170 1222 1410 1521 1690 1833 2115 2535 3042 3055 3666 4230 5070 5499 6110 7605 7943 9165 10998 15210 15886 18330 23829 27495 39715 47658 54990 71487 79430 93089 119145 142974 186178 238290 279267 357435 465445 558534 714870 837801 930890 1210157 1396335 1675602 2420314 2792670 3630471 4189005 4375183 6050785 7260942 8378010 8750366 10891413 12101570 13125549 15732041 18152355 21782826 21875915 26251098 31464082 36304710 39376647 43751830 47196123 54457065 56877379 65627745 78660205 78753294 94392246 108914130 113754758 131255490 141588369 157320410 170632137 196883235 235980615 283176738 284386895 341264274 393766470 471961230 511896411 568773790 707941845 739405927 853160685 1023792822 1415883690 1478811854 1706321370 2218217781 2559482055 3697029635 4436435562 5118964110 6654653343 7394059270 11091088905 13309306686 22182177810 33273266715 66546533430