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27424242432 = 283240129683
BaseRepresentation
bin11001100010100111…
…001011101100000000
32121210020112212020200
4121202213023230000
5422131101224212
620333140405200
71660412133366
oct314247135400
977706485220
1027424242432
11106a32a7274
1253943a6800
13278085c5b2
141482317636
15aa79366dc
hex6629cbb00

27424242432 has 108 divisors (see below), whose sum is σ = 79270706424. Its totient is φ = 9118310400.

The previous prime is 27424242431. The next prime is 27424242437. The reversal of 27424242432 is 23424242472.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27424242431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 909063 + ... + 938745.

Almost surely, 227424242432 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 27424242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39635353212).

27424242432 is an abundant number, since it is smaller than the sum of its proper divisors (51846463992).

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

27424242432 is a wasteful number, since it uses less digits than its factorization.

27424242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30106 (or 30089 counting only the distinct ones).

The product of its digits is 172032, while the sum is 36.

The spelling of 27424242432 in words is "twenty-seven billion, four hundred twenty-four million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 401 576 768 802 1152 1203 1604 2304 2406 3208 3609 4812 6416 7218 9624 12832 14436 19248 25664 28872 29683 38496 51328 57744 59366 76992 89049 102656 115488 118732 153984 178098 230976 237464 267147 307968 356196 461952 474928 534294 712392 923904 949856 1068588 1424784 1899712 2137176 2849568 3799424 4274352 5699136 7598848 8548704 11398272 11902883 17097408 22796544 23805766 34194816 35708649 47611532 68389632 71417298 95223064 107125947 142834596 190446128 214251894 285669192 380892256 428503788 571338384 761784512 857007576 1142676768 1523569024 1714015152 2285353536 3047138048 3428030304 4570707072 6856060608 9141414144 13712121216 27424242432