Search a number
-
+
13407466680 = 233551379369
BaseRepresentation
bin11000111110010010…
…11011010010111000
31021121101111212200000
430133021123102320
5204424302413210
610054224313000
7653151405066
oct143711332270
937541455600
1013407466680
115760190183
122722172760
131358928a4a
14912915036
155370dcac0
hex31f25b4b8

13407466680 has 96 divisors (see below), whose sum is σ = 45188161200. Its totient is φ = 3575321856.

The previous prime is 13407466663. The next prime is 13407466729. The reversal of 13407466680 is 8666470431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679965 + ... + 699404.

Almost surely, 213407466680 is an apocalyptic number.

13407466680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13407466680 is an abundant number, since it is smaller than the sum of its proper divisors (31780694520).

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

13407466680 is a wasteful number, since it uses less digits than its factorization.

13407466680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379395 (or 1379379 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13407466680 in words is "thirteen billion, four hundred seven million, four hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 1379369 2758738 4138107 5517476 6896845 8276214 11034952 12414321 13793690 16552428 20690535 24828642 27587380 33104856 37242963 41381070 49657284 55174760 62071605 74485926 82762140 99314568 111728889 124143210 148971852 165524280 186214815 223457778 248286420 297943704 335186667 372429630 446915556 496572840 558644445 670373334 744859260 893831112 1117288890 1340746668 1489718520 1675933335 2234577780 2681493336 3351866670 4469155560 6703733340 13407466680