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245414400552 = 233214797230353
BaseRepresentation
bin1110010010001111010…
…1101001001000101000
3212110110100111021020200
43210203311221020220
513010102041304202
6304424122152200
723505411662106
oct3444365511050
9773410437220
10245414400552
1195097038542
123b690952660
131a1b1044439
14bc417c2c76
1565b546ce1c
hex3923d69228

245414400552 has 48 divisors (see below), whose sum is σ = 664711805940. Its totient is φ = 81798916608.

The previous prime is 245414400551. The next prime is 245414400611. The reversal of 245414400552 is 255004414542.

245414400552 is a `hidden beast` number, since 2 + 4 + 54 + 14 + 40 + 0 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 240419586276 + 4994814276 = 490326^2 + 70674^2 .

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 (245414400551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 950208 + ... + 1180560.

Almost surely, 2245414400552 is an apocalyptic number.

It is an amenable number.

245414400552 is an abundant number, since it is smaller than the sum of its proper divisors (419297405388).

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

245414400552 is a wasteful number, since it uses less digits than its factorization.

245414400552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245162 (or 245155 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 245414400552 in words is "two hundred forty-five billion, four hundred fourteen million, four hundred thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14797 29594 44391 59188 88782 118376 133173 177564 230353 266346 355128 460706 532692 691059 921412 1065384 1382118 1842824 2073177 2764236 4146354 5528472 8292708 16585416 3408533341 6817066682 10225600023 13634133364 20451200046 27268266728 30676800069 40902400092 61353600138 81804800184 122707200276 245414400552