Search a number
-
+
12869177472 = 273226994139
BaseRepresentation
bin10111111110001000…
…00001000010000000
31020012212121221200200
423333010001002000
5202324002134342
65524555045200
7633624126564
oct137704010200
936185557620
1012869177472
115504351568
1225b1a40800
1312a1258a18
148a12336a4
15504c0e94c
hex2ff101080

12869177472 has 96 divisors (see below), whose sum is σ = 37055070000. Its totient is φ = 4287100416.

The previous prime is 12869177449. The next prime is 12869177507. The reversal of 12869177472 is 27477196821.

12869177472 is a `hidden beast` number, since 1 + 2 + 86 + 91 + 7 + 7 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3107179 + ... + 3111317.

Almost surely, 212869177472 is an apocalyptic number.

12869177472 is a gapful number since it is divisible by the number (12) 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 12869177472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18527535000).

12869177472 is an abundant number, since it is smaller than the sum of its proper divisors (24185892528).

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

12869177472 is a wasteful number, since it uses less digits than its factorization.

12869177472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6858 (or 6843 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 12869177472 in words is "twelve billion, eight hundred sixty-nine million, one hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2699 4139 5398 8097 8278 10796 12417 16194 16556 21592 24291 24834 32388 33112 37251 43184 48582 49668 64776 66224 74502 86368 97164 99336 129552 132448 149004 172736 194328 198672 259104 264896 298008 345472 388656 397344 518208 529792 596016 777312 794688 1036416 1192032 1554624 1589376 2384064 3109248 4768128 11171161 22342322 33513483 44684644 67026966 89369288 100540449 134053932 178738576 201080898 268107864 357477152 402161796 536215728 714954304 804323592 1072431456 1429908608 1608647184 2144862912 3217294368 4289725824 6434588736 12869177472