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12944470632 = 23319139443461
BaseRepresentation
bin11000000111000110…
…01111001001101000
31020102010022020111020
430003203033021220
5203002241030012
65540244532440
7635530120302
oct140343171150
936363266436
1012944470632
1155428a8415
1226130b1120
1312b3a2b8a2
148ab232972
1550b633a8c
hex3038cf268

12944470632 has 128 divisors (see below), whose sum is σ = 34461504000. Its totient is φ = 4040375040.

The previous prime is 12944470631. The next prime is 12944470673. The reversal of 12944470632 is 23607444921.

It is not an unprimeable number, because it can be changed into a prime (12944470631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28078882 + ... + 28079342.

It is an arithmetic number, because the mean of its divisors is an integer number (269230500).

Almost surely, 212944470632 is an apocalyptic number.

12944470632 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 12944470632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230752000).

12944470632 is an abundant number, since it is smaller than the sum of its proper divisors (21517033368).

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

12944470632 is a wasteful number, since it uses less digits than its factorization.

12944470632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 12944470632 in words is "twelve billion, nine hundred forty-four million, four hundred seventy thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 139 152 228 278 417 443 456 461 556 834 886 922 1112 1329 1383 1668 1772 1844 2641 2658 2766 3336 3544 3688 5282 5316 5532 7923 8417 8759 10564 10632 11064 15846 16834 17518 21128 25251 26277 31692 33668 35036 50502 52554 61577 63384 64079 67336 70072 101004 105108 123154 128158 184731 192237 202008 204223 210216 246308 256316 369462 384474 408446 492616 512632 612669 738924 768948 816892 1169963 1217501 1225338 1477848 1537896 1633784 2339926 2435002 2450676 3509889 3652503 3880237 4679852 4870004 4901352 7019778 7305006 7760474 9359704 9740008 11640711 14039556 14610012 15520948 23281422 28079112 28386997 29220024 31041896 46562844 56773994 85160991 93125688 113547988 170321982 227095976 340643964 539352943 681287928 1078705886 1618058829 2157411772 3236117658 4314823544 6472235316 12944470632