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12929993600 = 27527355351
BaseRepresentation
bin11000000101011000…
…00000101110000000
31020101010001201201212
430002230000232000
5202440034243400
65535010345252
7635263063226
oct140254005600
936333051655
1012929993600
11553570a627
12260a28b228
1312b0a302b4
148a9344b16
1550a224335
hex302b00b80

12929993600 has 96 divisors (see below), whose sum is σ = 32379259440. Its totient is φ = 5101056000.

The previous prime is 12929993599. The next prime is 12929993633. The reversal of 12929993600 is 639992921.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205925 + ... + 261275.

Almost surely, 212929993600 is an apocalyptic number.

12929993600 is a gapful number since it is divisible by the number (10) 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 12929993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189629720).

12929993600 is an abundant number, since it is smaller than the sum of its proper divisors (19449265840).

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

12929993600 is an equidigital number, since it uses as much as digits as its factorization.

12929993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55448 (or 55431 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 50.

The spelling of 12929993600 in words is "twelve billion, nine hundred twenty-nine million, nine hundred ninety-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 128 146 160 200 292 320 365 400 584 640 730 800 1168 1460 1600 1825 2336 2920 3200 3650 4672 5840 7300 9344 11680 14600 23360 29200 46720 55351 58400 110702 116800 221404 233600 276755 442808 553510 885616 1107020 1383775 1771232 2214040 2767550 3542464 4040623 4428080 5535100 7084928 8081246 8856160 11070200 16162492 17712320 20203115 22140400 32324984 35424640 40406230 44280800 64649968 80812460 88561600 101015575 129299936 161624920 177123200 202031150 258599872 323249840 404062300 517199744 646499680 808124600 1292999360 1616249200 2585998720 3232498400 6464996800 12929993600