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133046415460 = 225726931311287
BaseRepresentation
bin111101111101000101…
…1110011000001100100
3110201102020022012000001
41323322023303001210
54134434340243320
6141042022231044
712420004605040
oct1737213630144
9421366265001
10133046415460
1151474262162
1221950b85484
13c71408aa2a
146621d15020
1536da52520a
hex1efa2f3064

133046415460 has 96 divisors (see below), whose sum is σ = 321550871040. Its totient is φ = 45297128448.

The previous prime is 133046415451. The next prime is 133046415653. The reversal of 133046415460 is 64514640331.

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, 11781937 + ... + 11793223.

It is an arithmetic number, because the mean of its divisors is an integer number (3349488240).

Almost surely, 2133046415460 is an apocalyptic number.

133046415460 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 133046415460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160775435520).

133046415460 is an abundant number, since it is smaller than the sum of its proper divisors (188504455580).

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

133046415460 is a wasteful number, since it uses less digits than its factorization.

133046415460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11885 (or 11883 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 133046415460 in words is "one hundred thirty-three billion, forty-six million, four hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 269 313 538 626 1076 1252 1345 1565 1883 2191 2690 3130 3766 4382 5380 6260 7532 8764 9415 10955 11287 18830 21910 22574 37660 43820 45148 56435 79009 84197 112870 158018 168394 225740 316036 336788 395045 420985 589379 790090 841970 1178758 1580180 1683940 2357516 2946895 3036203 3532831 5893790 6072406 7065662 11787580 12144812 14131324 15181015 17664155 21253421 24729817 30362030 35328310 42506842 49459634 60724060 70656620 85013684 98919268 106267105 123649085 212534210 247298170 425068420 494596340 950331539 1900663078 3801326156 4751657695 6652320773 9503315390 13304641546 19006630780 26609283092 33261603865 66523207730 133046415460