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12700250496 = 27348871381
BaseRepresentation
bin10111101001111111…
…00111000110000000
31012210002202120110000
423310333213012000
5202002231003441
65500122240000
7626503230243
oct136477470600
935702676400
1012700250496
115427a6219a
122565356000
131275260c2b
14886a1d25a
154e4e922b6
hex2f4fe7180

12700250496 has 160 divisors (see below), whose sum is σ = 37865749680. Its totient is φ = 4225582080.

The previous prime is 12700250483. The next prime is 12700250527. The reversal of 12700250496 is 69405200721.

It is a super-2 number, since 2×127002504962 (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 a self number, because there is not a number n which added to its sum of digits gives 12700250496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9195726 + ... + 9197106.

Almost surely, 212700250496 is an apocalyptic number.

12700250496 is a gapful number since it is divisible by the number (16) 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 12700250496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932874840).

12700250496 is an abundant number, since it is smaller than the sum of its proper divisors (25165499184).

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

12700250496 is an equidigital number, since it uses as much as digits as its factorization.

12700250496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12700250496 in words is "twelve billion, seven hundred million, two hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 887 1152 1296 1381 1728 1774 2592 2661 2762 3456 3548 4143 5184 5322 5524 7096 7983 8286 10368 10644 11048 12429 14192 15966 16572 21288 22096 23949 24858 28384 31932 33144 37287 42576 44192 47898 49716 56768 63864 66288 71847 74574 85152 88384 95796 99432 111861 113536 127728 132576 143694 149148 170304 176768 191592 198864 223722 255456 265152 287388 298296 340608 383184 397728 447444 510912 530304 574776 596592 766368 795456 894888 1021824 1149552 1193184 1224947 1532736 1590912 1789776 2299104 2386368 2449894 3065472 3579552 3674841 4598208 4772736 4899788 7159104 7349682 9196416 9799576 11024523 14318208 14699364 19599152 22049046 29398728 33073569 39198304 44098092 58797456 66147138 78396608 88196184 99220707 117594912 132294276 156793216 176392368 198441414 235189824 264588552 352784736 396882828 470379648 529177104 705569472 793765656 1058354208 1411138944 1587531312 2116708416 3175062624 4233416832 6350125248 12700250496