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133054053660 = 2232511148745191
BaseRepresentation
bin111101111101010100…
…0111011110100011100
3110201102202200020122100
41323322220323310130
54134443314204120
6141042454045100
712420126536613
oct1737250736434
9421382606570
10133054053660
11514785a9920
1221953649790
13c715833588
146622d4287a
1536db033490
hex1efaa3bd1c

133054053660 has 144 divisors (see below), whose sum is σ = 440593800192. Its totient is φ = 32233123200.

The previous prime is 133054053653. The next prime is 133054053667. The reversal of 133054053660 is 66350450331.

133054053660 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 540 + 53 + 6 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (133054053653) and next prime (133054053667).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133054053667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2921665 + ... + 2966855.

It is an arithmetic number, because the mean of its divisors is an integer number (3059679168).

Almost surely, 2133054053660 is an apocalyptic number.

133054053660 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 133054053660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220296900096).

133054053660 is an abundant number, since it is smaller than the sum of its proper divisors (307539746532).

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

133054053660 is a wasteful number, since it uses less digits than its factorization.

133054053660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46704 (or 46699 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 133054053660 in words is "one hundred thirty-three billion, fifty-four million, fifty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1487 1980 2974 4461 5948 7435 8922 13383 14870 16357 17844 22305 26766 29740 32714 44610 45191 49071 53532 65428 66915 81785 89220 90382 98142 133830 135573 147213 163570 180764 196284 225955 245355 267660 271146 294426 327140 406719 451910 490710 497101 542292 588852 677865 736065 813438 903820 981420 994202 1355730 1472130 1491303 1626876 1988404 2033595 2485505 2711460 2944260 2982606 4067190 4473909 4971010 5965212 7456515 8134380 8947818 9942020 14913030 17895636 22369545 29826060 44739090 67199017 89478180 134398034 201597051 268796068 335995085 403194102 604791153 671990170 739189187 806388204 1007985255 1209582306 1343980340 1478378374 2015970510 2217567561 2419164612 2956756748 3023955765 3695945935 4031941020 4435135122 6047911530 6652702683 7391891870 8870270244 11087837805 12095823060 13305405366 14783783740 22175675610 26610810732 33263513415 44351351220 66527026830 133054053660