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13870743912 = 2334311275437
BaseRepresentation
bin11001110101100001…
…01100000101101000
31022210200020210120000
430322300230011220
5211401402301122
610212214103000
71000505243424
oct147260540550
938720223500
1013870743912
115978745223
12283134aa60
1314008c3b9c
1495826bb84
15562b000ac
hex33ac2c168

13870743912 has 160 divisors (see below), whose sum is σ = 40427397120. Its totient is φ = 4438385280.

The previous prime is 13870743911. The next prime is 13870743967. The reversal of 13870743912 is 21934707831.

13870743912 is a `hidden beast` number, since 138 + 70 + 7 + 439 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (13870743911) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2548458 + ... + 2553894.

It is an arithmetic number, because the mean of its divisors is an integer number (252671232).

Almost surely, 213870743912 is an apocalyptic number.

13870743912 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 13870743912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20213698560).

13870743912 is an abundant number, since it is smaller than the sum of its proper divisors (26556653208).

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

13870743912 is a wasteful number, since it uses less digits than its factorization.

13870743912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 13870743912 in words is "thirteen billion, eight hundred seventy million, seven hundred forty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 127 162 186 216 248 254 279 324 372 381 508 558 648 744 762 837 1016 1116 1143 1524 1674 2232 2286 2511 3048 3348 3429 3937 4572 5022 5437 6696 6858 7874 9144 10044 10287 10874 11811 13716 15748 16311 20088 20574 21748 23622 27432 31496 32622 35433 41148 43496 47244 48933 65244 70866 82296 94488 97866 106299 130488 141732 146799 168547 195732 212598 283464 293598 318897 337094 391464 425196 440397 505641 587196 637794 674188 690499 850392 880794 1011282 1174392 1275588 1348376 1380998 1516923 1761588 2022564 2071497 2551176 2761996 3033846 3523176 4045128 4142994 4550769 5523992 6067692 6214491 8285988 9101538 12135384 12428982 13652307 16571976 18203076 18643473 21405469 24857964 27304614 36406152 37286946 42810938 49715928 54609228 55930419 64216407 74573892 85621876 109218456 111860838 128432814 149147784 171243752 192649221 223721676 256865628 385298442 447443352 513731256 577947663 770596884 1155895326 1541193768 1733842989 2311790652 3467685978 4623581304 6935371956 13870743912