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12377408424 = 2333753793329
BaseRepresentation
bin10111000011100000…
…00100001110101000
31011221121021111101020
423201300010032220
5200322104032144
65404110452440
7615503143563
oct134160041650
934847244336
1012377408424
1152817a7167
122495204120
1312233c6214
14855bc14da
154c6970419
hex2e1c043a8

12377408424 has 128 divisors (see below), whose sum is σ = 32799168000. Its totient is φ = 3887529984.

The previous prime is 12377408419. The next prime is 12377408473. The reversal of 12377408424 is 42480477321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3716392 + ... + 3719720.

It is an arithmetic number, because the mean of its divisors is an integer number (256243500).

Almost surely, 212377408424 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 12377408424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399584000).

12377408424 is an abundant number, since it is smaller than the sum of its proper divisors (20421759576).

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

12377408424 is a wasteful number, since it uses less digits than its factorization.

12377408424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 12377408424 in words is "twelve billion, three hundred seventy-seven million, four hundred eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 79 106 111 148 158 159 212 222 237 296 316 318 424 444 474 632 636 888 948 1272 1896 1961 2923 3329 3922 4187 5846 5883 6658 7844 8374 8769 9987 11692 11766 12561 13316 15688 16748 17538 19974 23384 23532 25122 26632 33496 35076 39948 47064 50244 70152 79896 100488 123173 154919 176437 246346 262991 309838 352874 369519 464757 492692 525982 529311 619676 705748 739038 788973 929514 985384 1051964 1058622 1239352 1411496 1478076 1577946 1859028 2103928 2117244 2956152 3155892 3718056 4234488 6311784 6528169 9730667 13056338 13938523 19461334 19584507 26112676 27877046 29192001 38922668 39169014 41815569 52225352 55754092 58384002 77845336 78338028 83631138 111508184 116768004 156676056 167262276 233536008 334524552 515725351 1031450702 1547176053 2062901404 3094352106 4125802808 6188704212 12377408424