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166314675560 = 235112234573709
BaseRepresentation
bin1001101011100100100…
…0001000110101101000
3120220021202101220101112
42122321020020311220
510211103024104220
6204223124405452
715005301263015
oct2327110106550
9526252356345
10166314675560
11645963313a0
1228296546888
13128b65a1237
14809a43670c
1544d60325c5
hex26b9208d68

166314675560 has 128 divisors (see below), whose sum is σ = 411065625600. Its totient is φ = 60058920960.

The previous prime is 166314675529. The next prime is 166314675581. The reversal of 166314675560 is 65576413661.

It is a super-2 number, since 2×1663146755602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166314675499 and 166314675508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44838986 + ... + 44842694.

It is an arithmetic number, because the mean of its divisors is an integer number (3211450200).

Almost surely, 2166314675560 is an apocalyptic number.

166314675560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166314675560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205532812800).

166314675560 is an abundant number, since it is smaller than the sum of its proper divisors (244750950040).

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

166314675560 is a wasteful number, since it uses less digits than its factorization.

166314675560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 166314675560 in words is "one hundred sixty-six billion, three hundred fourteen million, six hundred seventy-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 223 440 446 457 892 914 1115 1784 1828 2230 2285 2453 3656 3709 4460 4570 4906 5027 7418 8920 9140 9812 10054 12265 14836 18280 18545 19624 20108 24530 25135 29672 37090 40216 40799 49060 50270 74180 81598 98120 100540 101911 148360 163196 201080 203822 203995 326392 407644 407990 509555 815288 815980 827107 1019110 1121021 1631960 1654214 1695013 2038220 2242042 3308428 3390026 4076440 4135535 4484084 5605105 6616856 6780052 8271070 8475065 8968168 9098177 11210210 13560104 16542140 16950130 18196354 18645143 22420420 33084280 33900260 36392708 37290286 44840840 45490885 67800520 72785416 74580572 90981770 93225715 149161144 181963540 186451430 363927080 372902860 377987899 745805720 755975798 1511951596 1889939495 3023903192 3779878990 4157866889 7559757980 8315733778 15119515960 16631467556 20789334445 33262935112 41578668890 83157337780 166314675560