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12028886472 = 23319232414759
BaseRepresentation
bin10110011001111101…
…00011110111001000
31011001022110202010210
423030332203313020
5144113343331342
65305340441120
7604041563601
oct131476436710
934038422123
1012028886472
115112aa1499
1223b85491a0
131199139a05
148217bada8
154a607979c
hex2ccfa3dc8

12028886472 has 128 divisors (see below), whose sum is σ = 33175296000. Its totient is φ = 3617602560.

The previous prime is 12028886461. The next prime is 12028886501. The reversal of 12028886472 is 27468882021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525229 + ... + 2529987.

It is an arithmetic number, because the mean of its divisors is an integer number (259182000).

Almost surely, 212028886472 is an apocalyptic number.

12028886472 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 12028886472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587648000).

12028886472 is an abundant number, since it is smaller than the sum of its proper divisors (21146409528).

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

12028886472 is a wasteful number, since it uses less digits than its factorization.

12028886472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 12028886472 in words is "twelve billion, twenty-eight million, eight hundred eighty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 241 276 437 456 482 552 723 874 964 1311 1446 1748 1928 2622 2892 3496 4579 4759 5244 5543 5784 9158 9518 10488 11086 13737 14277 16629 18316 19036 22172 27474 28554 33258 36632 38072 44344 54948 57108 66516 90421 105317 109457 109896 114216 133032 180842 210634 218914 271263 315951 328371 361684 421268 437828 542526 631902 656742 723368 842536 875656 1085052 1146919 1263804 1313484 2079683 2170104 2293838 2527608 2626968 3440757 4159366 4587676 6239049 6881514 8318732 9175352 12478098 13763028 16637464 21791461 24956196 26379137 27526056 43582922 49912392 52758274 65374383 79137411 87165844 105516548 130748766 158274822 174331688 211033096 261497532 316549644 501203603 522995064 633099288 1002407206 1503610809 2004814412 3007221618 4009628824 6014443236 12028886472