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13846834060 = 2251941253409
BaseRepresentation
bin11001110010101010…
…11110101110001100
31022202000021001101221
430321111132232030
5211324242142220
610210001413124
71000065101413
oct147125365614
938660231357
1013846834060
1159661a4414
12282533a1a4
1313c8971c47
1495500647a
1556097a9aa
hex33955eb8c

13846834060 has 144 divisors (see below), whose sum is σ = 32043664800. Its totient is φ = 5010370560.

The previous prime is 13846834051. The next prime is 13846834061. The reversal of 13846834060 is 6043864831.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13846833998 and 13846834016.

It is not an unprimeable number, because it can be changed into a prime (13846834061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33855136 + ... + 33855544.

It is an arithmetic number, because the mean of its divisors is an integer number (222525450).

Almost surely, 213846834060 is an apocalyptic number.

13846834060 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 13846834060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16021832400).

13846834060 is an abundant number, since it is smaller than the sum of its proper divisors (18196830740).

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

13846834060 is a wasteful number, since it uses less digits than its factorization.

13846834060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 13846834060 in words is "thirteen billion, eight hundred forty-six million, eight hundred thirty-four thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 41 53 76 82 95 106 164 190 205 212 265 380 409 410 530 779 818 820 1007 1060 1558 1636 1681 2014 2045 2173 3116 3362 3895 4028 4090 4346 5035 6724 7771 7790 8180 8405 8692 10070 10865 15542 15580 16769 16810 20140 21677 21730 31084 31939 33538 33620 38855 41287 43354 43460 63878 67076 77710 82574 83845 86708 89093 108385 127756 155420 159695 165148 167690 178186 206435 216770 318611 319390 335380 356372 411863 412870 433540 445465 637222 638780 687529 823726 825740 888757 890930 1274444 1375058 1593055 1647452 1692767 1777514 1781860 2059315 2750116 3186110 3385534 3437645 3555028 4118630 4443785 6372220 6771068 6875290 8237260 8463835 8887570 13063051 13750580 16886383 16927670 17775140 26126102 33772766 33855340 36439037 52252204 65315255 67545532 72878074 84431915 130630510 145756148 168863830 182195185 261261020 337727660 364390370 692341703 728780740 1384683406 2769366812 3461708515 6923417030 13846834060