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133465210366212 = 2232311811407146957
BaseRepresentation
bin11110010110001011001010…
…011101000010100100000100
3122111120011000222122202201100
4132112023022131002210010
5114443143222323204322
61151505023214100100
740053354221632404
oct3626131235024404
9574504028582640
10133465210366212
113958730690363a
1212b76550aaa630
13596193b78591a
1424d5a71acc804
151066b0a595dac
hex7962ca742904

133465210366212 has 144 divisors (see below), whose sum is σ = 350209704592384. Its totient is φ = 42811475616000.

The previous prime is 133465210366129. The next prime is 133465210366237. The reversal of 133465210366212 is 212663012564331.

133465210366212 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 6 + 5 + 2 + 10 + 3 + 6 + 621 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2842262238 + ... + 2842309194.

Almost surely, 2133465210366212 is an apocalyptic number.

133465210366212 is a gapful number since it is divisible by the number (12) 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 133465210366212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175104852296192).

133465210366212 is an abundant number, since it is smaller than the sum of its proper divisors (216744494226172).

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

133465210366212 is a wasteful number, since it uses less digits than its factorization.

133465210366212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61250 (or 61245 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 133465210366212 in words is "one hundred thirty-three trillion, four hundred sixty-five billion, two hundred ten million, three hundred sixty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 181 186 279 362 372 543 558 724 1086 1116 1629 2172 3258 5611 6516 11222 14071 16833 22444 28142 33666 42213 46957 50499 56284 67332 84426 93914 100998 126639 140871 168852 187828 201996 253278 281742 422613 436201 506556 563484 845226 872402 1308603 1455667 1690452 1744804 2546851 2617206 2911334 3925809 4367001 5093702 5234412 5822668 7640553 7851618 8499217 8734002 10187404 13101003 15281106 15703236 16998434 17468004 22921659 25497651 26202006 30562212 33996868 45843318 50995302 52404012 76492953 78952381 91686636 101990604 152985906 157904762 236857143 263475727 305971812 315809524 473714286 526951454 660731947 710571429 790427181 947428572 1053902908 1321463894 1421142858 1580854362 1982195841 2371281543 2642927788 2842285716 3161708724 3964391682 4742563086 5946587523 7928783364 9485126172 11893175046 20482690357 23786350092 40965380714 61448071071 81930761428 119592482407 122896142142 184344213213 239184964814 245792284284 358777447221 368688426426 478369929628 717554894442 737376852852 1076332341663 1435109788884 2152664683326 3707366954617 4305329366652 7414733909234 11122100863851 14829467818468 22244201727702 33366302591553 44488403455404 66732605183106 133465210366212