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133666210859472 = 243261109113947763
BaseRepresentation
bin11110011001000110010111…
…000001000100100111010000
3122112021100212001112202221200
4132121012113001010213100
5120004441344440000342
61152141224244151200
740104031211633364
oct3631062701044720
9575240761482850
10133666210859472
11396545813a5175
1212ba94a7698500
135977892155635
14250169ca092a4
15106be7179794c
hex7991970449d0

133666210859472 has 120 divisors (see below), whose sum is σ = 380560723783968. Its totient is φ = 43784814470400.

The previous prime is 133666210859459. The next prime is 133666210859491. The reversal of 133666210859472 is 274958012666331.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2609463 + ... + 16557225.

It is a 1-persistent number, because it is pandigital, but 2⋅133666210859472 = 267332421718944 is not.

Almost surely, 2133666210859472 is an apocalyptic number.

133666210859472 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 133666210859472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190280361891984).

133666210859472 is an abundant number, since it is smaller than the sum of its proper divisors (246894512924496).

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

133666210859472 is a wasteful number, since it uses less digits than its factorization.

133666210859472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13948929 (or 13948920 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 133666210859472 in words is "one hundred thirty-three trillion, six hundred sixty-six billion, two hundred ten million, eight hundred fifty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1091 1098 1464 2182 2196 2928 3273 4364 4392 6546 8728 8784 9819 13092 17456 19638 26184 39276 52368 66551 78552 133102 157104 199653 266204 399306 532408 598959 798612 1064816 1197918 1597224 2395836 3194448 4791672 9583344 13947763 27895526 41843289 55791052 83686578 111582104 125529867 167373156 223164208 251059734 334746312 502119468 669492624 850813543 1004238936 1701627086 2008477872 2552440629 3403254172 5104881258 6806508344 7657321887 10209762516 13613016688 15217009433 15314643774 20419525032 30434018866 30629287548 40839050064 45651028299 60868037732 61258575096 91302056598 121736075464 122517150192 136953084897 182604113196 243472150928 273906169794 365208226392 547812339588 730416452784 928237575413 1095624679176 1856475150826 2191249358352 2784712726239 3712950301652 5569425452478 7425900603304 8354138178717 11138850904956 14851801206608 16708276357434 22277701809912 33416552714868 44555403619824 66833105429736 133666210859472