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12906239724 = 223271719915139
BaseRepresentation
bin11000000010100010…
…11001011011101100
31020022110100220112200
430001101121123230
5202412444132344
65532401301500
7634554141030
oct140121313354
936273326480
1012906239724
115523265a24
122602334890
1312a8b34351
148a61201c0
155080d1069
hex3014596ec

12906239724 has 144 divisors (see below), whose sum is σ = 39678912000. Its totient is φ = 3452917248.

The previous prime is 12906239719. The next prime is 12906239747. The reversal of 12906239724 is 42793260921.

12906239724 is a `hidden beast` number, since 12 + 9 + 0 + 623 + 9 + 7 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12906239724.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844947 + ... + 860085.

It is an arithmetic number, because the mean of its divisors is an integer number (275548000).

Almost surely, 212906239724 is an apocalyptic number.

12906239724 is a gapful number since it is divisible by the number (14) 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 12906239724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839456000).

12906239724 is an abundant number, since it is smaller than the sum of its proper divisors (26772672276).

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

12906239724 is a wasteful number, since it uses less digits than its factorization.

12906239724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15372 (or 15367 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12906239724 in words is "twelve billion, nine hundred six million, two hundred thirty-nine thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 199 204 238 252 306 357 398 476 597 612 714 796 1071 1194 1393 1428 1791 2142 2388 2786 3383 3582 4179 4284 5572 6766 7164 8358 10149 12537 13532 15139 16716 20298 23681 25074 30278 30447 40596 45417 47362 50148 60556 60894 71043 90834 94724 105973 121788 136251 142086 181668 211946 213129 257363 272502 284172 317919 423892 426258 514726 545004 635838 772089 852516 953757 1029452 1271676 1544178 1801541 1907514 2316267 3012661 3088356 3603082 3815028 4632534 5404623 6025322 7206164 9037983 9265068 10809246 12050644 16213869 18075966 21088627 21618492 27113949 32427738 36151932 42177254 51215237 54227898 63265881 64855476 84354508 102430474 108455796 126531762 153645711 189797643 204860948 253063524 307291422 358506659 379595286 460937133 614582844 717013318 759190572 921874266 1075519977 1434026636 1843748532 2151039954 3226559931 4302079908 6453119862 12906239724