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12353472384 = 273113779043
BaseRepresentation
bin10111000000101001…
…10000011110000000
31011212221020102022020
423200110300132000
5200244442104014
65401453441440
7615062532321
oct134024603600
934787212266
1012353472384
11526a238710
1224891a0280
13121b465396
14852950448
154c47e31a9
hex2e0530780

12353472384 has 128 divisors (see below), whose sum is σ = 36764945280. Its totient is φ = 3642255360.

The previous prime is 12353472361. The next prime is 12353472389. The reversal of 12353472384 is 48327435321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12353472389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116767 + ... + 195809.

It is an arithmetic number, because the mean of its divisors is an integer number (287226135).

Almost surely, 212353472384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12353472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18382472640).

12353472384 is an abundant number, since it is smaller than the sum of its proper divisors (24411472896).

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

12353472384 is a wasteful number, since it uses less digits than its factorization.

12353472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79108 (or 79096 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The spelling of 12353472384 in words is "twelve billion, three hundred fifty-three million, four hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 592 704 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 3256 3552 4224 4736 4884 6512 7104 9768 13024 14208 19536 26048 39072 52096 78144 79043 156288 158086 237129 316172 474258 632344 869473 948516 1264688 1738946 1897032 2529376 2608419 2924591 3477892 3794064 5058752 5216838 5849182 6955784 7588128 8773773 10117504 10433676 11698364 13911568 15176256 17547546 20867352 23396728 27823136 30352512 32170501 35095092 41734704 46793456 55646272 64341002 70190184 83469408 93586912 96511503 111292544 128682004 140380368 166938816 187173824 193023006 257364008 280760736 333877632 374347648 386046012 514728016 561521472 772092024 1029456032 1123042944 1544184048 2058912064 3088368096 4117824128 6176736192 12353472384