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191085233664 = 293132736121
BaseRepresentation
bin1011000111110110010…
…0010100011000000000
3200021020001120122002110
42301331210110120000
511112320304434124
6223441111415320
716543161454413
oct2617544243000
9607201518073
10191085233664
11740476a6316
123104a084540
1315033412500
14936a135b7a
154e859d2029
hex2c7d914600

191085233664 has 120 divisors (see below), whose sum is σ = 551234653992. Its totient is φ = 58795376640.

The previous prime is 191085233639. The next prime is 191085233699. The reversal of 191085233664 is 466332580191.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108477 + ... + 627644.

Almost surely, 2191085233664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191085233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275617326996).

191085233664 is an abundant number, since it is smaller than the sum of its proper divisors (360149420328).

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

191085233664 is an equidigital number, since it uses as much as digits as its factorization.

191085233664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736168 (or 736139 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 191085233664 in words is "one hundred ninety-one billion, eighty-five million, two hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 512 624 676 768 832 1014 1248 1352 1536 1664 2028 2496 2704 3328 4056 4992 5408 6656 8112 9984 10816 16224 19968 21632 32448 43264 64896 86528 129792 259584 736121 1472242 2208363 2944484 4416726 5888968 8833452 9569573 11777936 17666904 19139146 23555872 28708719 35333808 38278292 47111744 57417438 70667616 76556584 94223488 114834876 124404449 141335232 153113168 188446976 229669752 248808898 282670464 306226336 373213347 376893952 459339504 497617796 565340928 612452672 746426694 918679008 995235592 1130681856 1224905344 1492853388 1837358016 1990471184 2449810688 2985706776 3674716032 3980942368 4899621376 5971413552 7349432064 7961884736 11942827104 14698864128 15923769472 23885654208 31847538944 47771308416 63695077888 95542616832 191085233664