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133076742540 = 22357619511873
BaseRepresentation
bin111101111101111111…
…1011111000110001100
3110201111100100221221020
41323323333133012030
54140020121230130
6141045024234140
712420523435140
oct1737377370614
9421440327836
10133076742540
115148a396365
122195b16b950
13c71a448851
146625d6b220
1536dd015e10
hex1efbfdf18c

133076742540 has 96 divisors (see below), whose sum is σ = 426534366720. Its totient is φ = 30368342016.

The previous prime is 133076742503. The next prime is 133076742541. The reversal of 133076742540 is 45247670331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 133076742492 and 133076742501.

It is not an unprimeable number, because it can be changed into a prime (133076742541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4044 + ... + 515916.

It is an arithmetic number, because the mean of its divisors is an integer number (4443066320).

Almost surely, 2133076742540 is an apocalyptic number.

133076742540 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 133076742540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267183360).

133076742540 is an abundant number, since it is smaller than the sum of its proper divisors (293457624180).

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

133076742540 is a wasteful number, since it uses less digits than its factorization.

133076742540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512511 (or 512509 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 133076742540 in words is "one hundred thirty-three billion, seventy-six million, seven hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 619 1238 1857 2476 3095 3714 4333 6190 7428 8666 9285 12380 12999 17332 18570 21665 25998 37140 43330 51996 64995 86660 129990 259980 511873 1023746 1535619 2047492 2559365 3071238 3583111 5118730 6142476 7166222 7678095 10237460 10749333 14332444 15356190 17915555 21498666 30712380 35831110 42997332 53746665 71662220 107493330 214986660 316849387 633698774 950548161 1267397548 1584246935 1901096322 2217945709 3168493870 3802192644 4435891418 4752740805 6336987740 6653837127 8871782836 9505481610 11089728545 13307674254 19010963220 22179457090 26615348508 33269185635 44358914180 66538371270 133076742540