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133676540816 = 24713157158441
BaseRepresentation
bin111110001111110111…
…1100010001110010000
3110210001010222212111012
41330133233202032100
54142232143301231
6141224332110052
712441425564150
oct1743757421620
9423033885435
10133676540816
1151767a16715
1221aa8005328
13c7b47a3680
1466818a0760
1537259e3e2b
hex1f1fbe2390

133676540816 has 80 divisors (see below), whose sum is σ = 318975500928. Its totient is φ = 52848460800.

The previous prime is 133676540791. The next prime is 133676540819. The reversal of 133676540816 is 618045676331.

It is not an unprimeable number, because it can be changed into a prime (133676540819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2258156 + ... + 2316596.

Almost surely, 2133676540816 is an apocalyptic number.

133676540816 is a gapful number since it is divisible by the number (16) 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 133676540816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159487750464).

133676540816 is an abundant number, since it is smaller than the sum of its proper divisors (185298960112).

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

133676540816 is a wasteful number, since it uses less digits than its factorization.

133676540816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60040 (or 60034 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 133676540816 in words is "one hundred thirty-three billion, six hundred seventy-six million, five hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 1571 3142 6284 10997 12568 20423 21994 25136 40846 43988 58441 81692 87976 116882 142961 163384 175952 233764 285922 326768 409087 467528 571844 759733 818174 935056 1143688 1519466 1636348 2287376 3038932 3272696 5318131 6077864 6545392 10636262 12155728 21272524 42545048 85090096 91810811 183621622 367243244 642675677 734486488 1193540543 1285351354 1468972976 2387081086 2570702708 4774162172 5141405416 8354783801 9548324344 10282810832 16709567602 19096648688 33419135204 66838270408 133676540816