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12445545984 = 29319616991
BaseRepresentation
bin10111001011100111…
…11111011000000000
31012010100111020112120
423211303333120000
5200442024432414
65414543124240
7620261252424
oct134563773000
935110436476
1012445545984
1153072059a3
1224b3ba3680
1312345620c1
14860c7ab84
154cc92e2a9
hex2e5cff600

12445545984 has 160 divisors (see below), whose sum is σ = 35477967360. Its totient is φ = 3865190400.

The previous prime is 12445545979. The next prime is 12445546049. The reversal of 12445545984 is 48954554421.

It is a super-2 number, since 2×124455459842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1776729 + ... + 1783719.

It is an arithmetic number, because the mean of its divisors is an integer number (221737296).

Almost surely, 212445545984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12445545984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738983680).

12445545984 is an abundant number, since it is smaller than the sum of its proper divisors (23032421376).

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

12445545984 is an equidigital number, since it uses as much as digits as its factorization.

12445545984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 7076 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 51.

The spelling of 12445545984 in words is "twelve billion, four hundred forty-five million, five hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 128 152 183 192 228 244 256 304 366 384 456 488 512 608 732 768 912 976 1159 1216 1464 1536 1824 1952 2318 2432 2928 3477 3648 3904 4636 4864 5856 6954 6991 7296 7808 9272 9728 11712 13908 13982 14592 15616 18544 20973 23424 27816 27964 29184 31232 37088 41946 46848 55632 55928 74176 83892 93696 111264 111856 132829 148352 167784 222528 223712 265658 296704 335568 398487 426451 445056 447424 531316 593408 671136 796974 852902 890112 894848 1062632 1279353 1342272 1593948 1705804 1780224 1789696 2125264 2558706 2684544 3187896 3411608 3579392 4250528 5117412 5369088 6375792 6823216 8102569 8501056 10234824 10738176 12751584 13646432 16205138 17002112 20469648 24307707 25503168 27292864 32410276 34004224 40939296 48615414 51006336 54585728 64820552 68008448 81878592 97230828 102012672 109171456 129641104 163757184 194461656 204025344 218342912 259282208 327514368 388923312 518564416 655028736 777846624 1037128832 1555693248 2074257664 3111386496 4148515328 6222772992 12445545984