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133641320460 = 22353773824641
BaseRepresentation
bin111110001110110100…
…1001011100000001100
3110202221200201111020120
41330131221023200030
54142144134223320
6141221033144540
712440520323664
oct1743551134014
9422850644216
10133641320460
115174a05008a
1221a9825b150
13c7aa3c151b
14667ad331a4
153722888440
hex1f1da4b80c

133641320460 has 96 divisors (see below), whose sum is σ = 389574075072. Its totient is φ = 34199470080.

The previous prime is 133641320437. The next prime is 133641320507. The reversal of 133641320460 is 64023146331.

133641320460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1336413204602 (a number of 23 digits) contains 22 as substring.

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, 250261 + ... + 574380.

It is an arithmetic number, because the mean of its divisors is an integer number (4058063282).

Almost surely, 2133641320460 is an apocalyptic number.

133641320460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133641320460 is an abundant number, since it is smaller than the sum of its proper divisors (255932754612).

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

133641320460 is a wasteful number, since it uses less digits than its factorization.

133641320460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824763 (or 824761 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 133641320460 its reverse (64023146331), we get a palindrome (197664466791).

The spelling of 133641320460 in words is "one hundred thirty-three billion, six hundred forty-one million, three hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 73 74 111 146 148 185 219 222 292 365 370 438 444 555 730 740 876 1095 1110 1460 2190 2220 2701 4380 5402 8103 10804 13505 16206 27010 32412 40515 54020 81030 162060 824641 1649282 2473923 3298564 4123205 4947846 8246410 9895692 12369615 16492820 24739230 30511717 49478460 60198793 61023434 91535151 120397586 122046868 152558585 180596379 183070302 240795172 300993965 305117170 361192758 366140604 457675755 601987930 610234340 722385516 902981895 915351510 1203975860 1805963790 1830703020 2227355341 3611927580 4454710682 6682066023 8909421364 11136776705 13364132046 22273553410 26728264092 33410330115 44547106820 66820660230 133641320460