Search a number
-
+
119916122872 = 237131916751913
BaseRepresentation
bin110111110101110001…
…1101101001011111000
3102110112011100012201011
41233223203231023320
53431042011412442
6131031054403304
711443430140450
oct1575343551370
9373464305634
10119916122872
1146946585a87
121b2a7800534
13b4009ca330
145b38150d60
1531bc938117
hex1beb8ed2f8

119916122872 has 128 divisors (see below), whose sum is σ = 293044147200. Its totient is φ = 44672560128.

The previous prime is 119916122861. The next prime is 119916122897. The reversal of 119916122872 is 278221619911.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2283988 + ... + 2335900.

It is an arithmetic number, because the mean of its divisors is an integer number (2289407400).

Almost surely, 2119916122872 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 119916122872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146522073600).

119916122872 is an abundant number, since it is smaller than the sum of its proper divisors (173128024328).

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

119916122872 is a wasteful number, since it uses less digits than its factorization.

119916122872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52125 (or 52121 counting only the distinct ones).

The product of its digits is 217728, while the sum is 49.

The spelling of 119916122872 in words is "one hundred nineteen billion, nine hundred sixteen million, one hundred twenty-two thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 167 182 247 266 334 364 494 532 668 728 988 1064 1169 1336 1729 1976 2171 2338 3173 3458 4342 4676 6346 6916 8684 9352 12692 13832 15197 17368 22211 25384 30394 41249 44422 51913 60788 82498 88844 103826 121576 164996 177688 207652 288743 329992 363391 415304 577486 674869 726782 986347 1154972 1349738 1453564 1972694 2309944 2699476 2907128 3945388 4724083 5398952 6904429 7890776 8669471 9448166 12822511 13808858 17338942 18896332 25645022 27617716 34677884 37792664 51290044 55235432 60686297 69355768 89757577 102580088 112703123 121372594 164719949 179515154 225406246 242745188 329439898 359030308 450812492 485490376 658879796 718060616 788921861 901624984 1153039643 1317759592 1577843722 2141359337 2306079286 3155687444 4282718674 4612158572 6311374888 8565437348 9224317144 14989515359 17130874696 29979030718 59958061436 119916122872