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13672517074300 = 22527223121317809
BaseRepresentation
bin1100011011110110000110…
…0001011111110101111100
31210102002011020000122110101
43012331201201133311330
53243002303332334200
645025022335250444
72610543501410200
oct306754141376574
953362136018411
1013672517074300
1143a15334a0557
1216499aa379a24
1378240b38a236
14353a792d8b00
1518a9c0ab526a
hexc6f6185fd7c

13672517074300 has 108 divisors (see below), whose sum is σ = 36013919805360. Its totient is φ = 4483906183680.

The previous prime is 13672517074289. The next prime is 13672517074327. The reversal of 13672517074300 is 347071527631.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60546205 + ... + 60771604.

It is an arithmetic number, because the mean of its divisors is an integer number (333462220420).

Almost surely, 213672517074300 is an apocalyptic number.

13672517074300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13672517074300 is an abundant number, since it is smaller than the sum of its proper divisors (22341402731060).

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

13672517074300 is a wasteful number, since it uses less digits than its factorization.

13672517074300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121317860 (or 121317846 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 46.

The spelling of 13672517074300 in words is "thirteen trillion, six hundred seventy-two billion, five hundred seventeen million, seventy-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 49 50 70 92 98 100 115 140 161 175 196 230 245 322 350 460 490 575 644 700 805 980 1127 1150 1225 1610 2254 2300 2450 3220 4025 4508 4900 5635 8050 11270 16100 22540 28175 56350 112700 121317809 242635618 485271236 606589045 849224663 1213178090 1698449326 2426356180 2790309607 3032945225 3396898652 4246123315 5580619214 5944572641 6065890450 8492246630 11161238428 11889145282 12131780900 13951548035 16984493260 19532167249 21230616575 23778290564 27903096070 29722863205 39064334498 42461233150 55806192140 59445726410 69757740175 78128668996 84922466300 97660836245 118891452820 136725170743 139515480350 148614316025 195321672490 273450341486 279030960700 297228632050 390643344980 488304181225 546900682972 594457264100 683625853715 976608362450 1367251707430 1953216724900 2734503414860 3418129268575 6836258537150 13672517074300