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2666472317136 = 2433163165722853
BaseRepresentation
bin100110110011010110001…
…000101010000011010000
3100102220122001002111012000
4212303112020222003100
5322141413403122021
65400543243434000
7363434445505035
oct46632610520320
910386561074160
102666472317136
11938932121071
12370944225900
131645a78294c4
14930b502338c
15495638d1b26
hex26cd622a0d0

2666472317136 has 160 divisors (see below), whose sum is σ = 7705703291520. Its totient is φ = 882799451136.

The previous prime is 2666472317101. The next prime is 2666472317167. The reversal of 2666472317136 is 6317132746662.

It is a super-2 number, since 2×26664723171362 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116667886 + ... + 116690738.

It is an arithmetic number, because the mean of its divisors is an integer number (48160645572).

Almost surely, 22666472317136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666472317136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852851645760).

2666472317136 is an abundant number, since it is smaller than the sum of its proper divisors (5039230974384).

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

2666472317136 is a wasteful number, since it uses less digits than its factorization.

2666472317136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24690 (or 24678 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 2666472317136 in words is "two trillion, six hundred sixty-six billion, four hundred seventy-two million, three hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 163 216 326 432 489 652 978 1304 1467 1657 1956 2608 2934 3314 3912 4401 4971 5868 6628 7824 8802 9942 11736 13256 14913 17604 19884 22853 23472 26512 29826 35208 39768 44739 45706 59652 68559 70416 79536 89478 91412 119304 137118 178956 182824 205677 238608 270091 274236 357912 365648 411354 540182 548472 617031 715824 810273 822708 1080364 1096944 1234062 1620546 1645416 2160728 2430819 2468124 3241092 3290832 3725039 4321456 4861638 4936248 6482184 7292457 7450078 9723276 9872496 11175117 12964368 14584914 14900156 19446552 22350234 29169828 29800312 33525351 37867421 38893104 44700468 58339656 59600624 67050702 75734842 89400936 100576053 113602263 116679312 134101404 151469684 178801872 201152106 227204526 268202808 302939368 340806789 402304212 454409052 536405616 605878736 681613578 804608424 908818104 1022420367 1363227156 1609216848 1817636208 2044840734 2726454312 4089681468 5452908624 6172389623 8179362936 12344779246 16358725872 18517168869 24689558492 37034337738 49379116984 55551506607 74068675476 98758233968 111103013214 148137350952 166654519821 222206026428 296274701904 333309039642 444412052856 666618079284 888824105712 1333236158568 2666472317136