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12702504492 = 223219231495419
BaseRepresentation
bin10111101010010000…
…01101011000101100
31012210021000002100100
423311020031120230
5202003320120432
65500242431100
7626531335536
oct136510153054
935707002310
1012702504492
1154292616a7
122566062490
13127586cb62
14887048856
154e528a07c
hex2f520d62c

12702504492 has 144 divisors (see below), whose sum is σ = 35511840000. Its totient is φ = 3810457728.

The previous prime is 12702504457. The next prime is 12702504547. The reversal of 12702504492 is 29440520721.

It is a super-2 number, since 2×127025044922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2341359 + ... + 2346777.

It is an arithmetic number, because the mean of its divisors is an integer number (246610000).

Almost surely, 212702504492 is an apocalyptic number.

12702504492 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 12702504492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755920000).

12702504492 is an abundant number, since it is smaller than the sum of its proper divisors (22809335508).

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

12702504492 is a wasteful number, since it uses less digits than its factorization.

12702504492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12702504492 in words is "twelve billion, seven hundred two million, five hundred four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 149 171 207 228 276 298 342 414 437 447 596 684 828 874 894 1311 1341 1748 1788 2622 2682 2831 3427 3933 5244 5364 5419 5662 6854 7866 8493 10281 10838 11324 13708 15732 16257 16986 20562 21676 25479 30843 32514 33972 41124 48771 50958 61686 65028 65113 97542 101916 102961 123372 124637 130226 195084 195339 205922 249274 260452 308883 373911 390678 411844 498548 586017 617766 747822 781356 807431 926649 1121733 1172034 1235532 1495644 1614862 1853298 2243466 2344068 2368103 2422293 3229724 3706596 4486932 4736206 4844586 7104309 7266879 9472412 9689172 14208618 14533758 15341189 18570913 21312927 28417236 29067516 30682378 37141826 42625854 46023567 55712739 61364756 74283652 85251708 92047134 111425478 138070701 167138217 184094268 222850956 276141402 334276434 352847347 552282804 668552868 705694694 1058542041 1411389388 2117084082 3175626123 4234168164 6351252246 12702504492