Search a number
-
+
135614101255520 = 25516733223152767
BaseRepresentation
bin11110110101011100011110…
…010101001111010101100000
3122210011120200212222110201012
4132311130132111033111200
5120233400134410134040
61200232131423400052
740364536565052026
oct3665343625172540
9583146625873635
10135614101255520
113a235687785268
1213262b08153028
135a8947c878914
14256ba868dc716
1510a2979abc865
hex7b571e54f560

135614101255520 has 96 divisors (see below), whose sum is σ = 322318618288128. Its totient is φ = 53918840360448.

The previous prime is 135614101255519. The next prime is 135614101255579. The reversal of 135614101255520 is 25552101416531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887642177 + ... + 887794943.

It is an arithmetic number, because the mean of its divisors is an integer number (3357485607168).

Almost surely, 2135614101255520 is an apocalyptic number.

135614101255520 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 135614101255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161159309144064).

135614101255520 is an abundant number, since it is smaller than the sum of its proper divisors (186704517032608).

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

135614101255520 is a wasteful number, since it uses less digits than its factorization.

135614101255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186172 (or 186164 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 41.

The spelling of 135614101255520 in words is "one hundred thirty-five trillion, six hundred fourteen billion, one hundred one million, two hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 167 334 668 835 1336 1670 2672 3340 5344 6680 13360 26720 33223 66446 132892 152767 166115 265784 305534 332230 531568 611068 664460 763835 1063136 1222136 1328920 1527670 2444272 2657840 3055340 4888544 5315680 5548241 6110680 11096482 12221360 22192964 24442720 25512089 27741205 44385928 51024178 55482410 88771856 102048356 110964820 127560445 177543712 204096712 221929640 255120890 408193424 443859280 510241780 816386848 887718560 1020483560 2040967120 4081934240 5075378041 10150756082 20301512164 25376890205 40603024328 50753780410 81206048656 101507560820 162412097312 203015121640 406030243280 812060486560 847588132847 1695176265694 3390352531388 4237940664235 6780705062776 8475881328470 13561410125552 16951762656940 27122820251104 33903525313880 67807050627760 135614101255520