Search a number
-
+
132330674432 = 2811232043149
BaseRepresentation
bin111101100111110000…
…1011101100100000000
3110122120100111202220002
41323033201131210000
54132003123040212
6140443013335132
712363164113355
oct1731741354400
9418510452802
10132330674432
1151137241350
12217913374a8
13c62b9c9928
146594c4062c
153697793ac2
hex1ecf85d900

132330674432 has 72 divisors (see below), whose sum is σ = 300686299200. Its totient is φ = 57535047680.

The previous prime is 132330674393. The next prime is 132330674467. The reversal of 132330674432 is 234476033231.

132330674432 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 2×1323306744322 (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 7 ways as a sum of consecutive naturals, for example, 956807 + ... + 1086342.

It is an arithmetic number, because the mean of its divisors is an integer number (4176198600).

Almost surely, 2132330674432 is an apocalyptic number.

It is an amenable number.

132330674432 is an abundant number, since it is smaller than the sum of its proper divisors (168355624768).

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

132330674432 is a wasteful number, since it uses less digits than its factorization.

132330674432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043199 (or 2043185 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 38.

The spelling of 132330674432 in words is "one hundred thirty-two billion, three hundred thirty million, six hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 704 736 1012 1408 1472 2024 2816 2944 4048 5888 8096 16192 32384 64768 2043149 4086298 8172596 16345192 22474639 32690384 44949278 46992427 65380768 89898556 93984854 130761536 179797112 187969708 261523072 359594224 375939416 516916697 523046144 719188448 751878832 1033833394 1438376896 1503757664 2067666788 2876753792 3007515328 4135333576 5753507584 6015030656 8270667152 12030061312 16541334304 33082668608 66165337216 132330674432