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12945359976 = 2336167271487
BaseRepresentation
bin11000000111001101…
…01000010001101000
31020102011222102102220
430003212220101220
5203003003004401
65540315554040
7635540513163
oct140346502150
936364872386
1012945359976
11554335560a
12261345b920
1312b3c80623
148ab3c4ada
1550b75c336
hex3039a8468

12945359976 has 128 divisors (see below), whose sum is σ = 33576898560. Its totient is φ = 4157049600.

The previous prime is 12945359953. The next prime is 12945359983. The reversal of 12945359976 is 67995354921.

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, 26581605 + ... + 26582091.

It is an arithmetic number, because the mean of its divisors is an integer number (262319520).

Almost surely, 212945359976 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 12945359976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16788449280).

12945359976 is an abundant number, since it is smaller than the sum of its proper divisors (20631538584).

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

12945359976 is a wasteful number, since it uses less digits than its factorization.

12945359976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 891 counting only the distinct ones).

The product of its digits is 18370800, while the sum is 60.

The spelling of 12945359976 in words is "twelve billion, nine hundred forty-five million, three hundred fifty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 61 67 122 134 183 201 244 268 271 366 402 487 488 536 542 732 804 813 974 1084 1461 1464 1608 1626 1948 2168 2922 3252 3896 4087 5844 6504 8174 11688 12261 16348 16531 18157 24522 29707 32629 32696 33062 36314 49044 49593 54471 59414 65258 66124 72628 89121 97887 98088 99186 108942 118828 130516 131977 132248 145256 178242 195774 198372 217884 237656 261032 263954 356484 391548 395931 396744 435768 527908 712968 783096 791862 1055816 1107577 1583724 1990369 2215154 3167448 3322731 3980738 4430308 5971107 6645462 7961476 8050597 8842459 8860616 11942214 13290924 15922952 16101194 17684918 23884428 24151791 26527377 26581848 32202388 35369836 47768856 48303582 53054754 64404776 70739672 96607164 106109508 193214328 212219016 539389999 1078779998 1618169997 2157559996 3236339994 4315119992 6472679988 12945359976