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126348681160 = 235132346322817
BaseRepresentation
bin111010110101011110…
…1111101111111001000
3110002010110100000210201
41311222331331333020
54032230230244120
6134013242421544
712062016032632
oct1655275757710
9402113300721
10126348681160
114964759a259
12205a1b018b4
13bbb7596c40
14618859ba52
15344751640a
hex1d6af7dfc8

126348681160 has 128 divisors (see below), whose sum is σ = 320167572480. Its totient is φ = 44525150208.

The previous prime is 126348681149. The next prime is 126348681169. The reversal of 126348681160 is 61186843621.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 126348681160.

It is not an unprimeable number, because it can be changed into a prime (126348681169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5526072 + ... + 5548888.

It is an arithmetic number, because the mean of its divisors is an integer number (2501309160).

Almost surely, 2126348681160 is an apocalyptic number.

126348681160 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 126348681160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160083786240).

126348681160 is an abundant number, since it is smaller than the sum of its proper divisors (193818891320).

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

126348681160 is a wasteful number, since it uses less digits than its factorization.

126348681160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23327 (or 23323 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 126348681160 in words is "one hundred twenty-six billion, three hundred forty-eight million, six hundred eighty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 463 520 598 920 926 1196 1495 1852 2315 2392 2990 3704 4630 5980 6019 9260 10649 11960 12038 18520 21298 22817 24076 30095 42596 45634 48152 53245 60190 85192 91268 106490 114085 120380 138437 182536 212980 228170 240760 276874 296621 425960 456340 524791 553748 593242 692185 912680 1049582 1107496 1186484 1384370 1483105 2099164 2372968 2623955 2768740 2966210 4198328 5247910 5537480 5932420 6822283 10495820 10564271 11864840 13644566 20991640 21128542 27289132 34111415 42257084 52821355 54578264 68222830 84514168 105642710 136445660 137335523 211285420 242978233 272891320 274671046 422570840 485956466 549342092 686677615 971912932 1098684184 1214891165 1373355230 1943825864 2429782330 2746710460 3158717029 4859564660 5493420920 6317434058 9719129320 12634868116 15793585145 25269736232 31587170290 63174340580 126348681160