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245070142272 = 263515758111
BaseRepresentation
bin1110010000111101010…
…0011001101101000000
3212102120100201010200000
43210033110121231000
513003400424023042
6304330023400000
723464031560464
oct3441724315500
9772510633600
10245070142272
1194a2a78516a
123b5b55b3000
131a15791b807
14bc0bbac4a4
15659511a74c
hex390f519b40

245070142272 has 84 divisors (see below), whose sum is σ = 728466001536. Its totient is φ = 81690042240.

The previous prime is 245070142267. The next prime is 245070142321. The reversal of 245070142272 is 272241070542.

245070142272 is a `hidden beast` number, since 2 + 4 + 507 + 0 + 142 + 2 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 7863504 + ... + 7894607.

It is an arithmetic number, because the mean of its divisors is an integer number (8672214304).

Almost surely, 2245070142272 is an apocalyptic number.

It is an amenable number.

245070142272 is an abundant number, since it is smaller than the sum of its proper divisors (483395859264).

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

245070142272 is an equidigital number, since it uses as much as digits as its factorization.

245070142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15758138 (or 15758116 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 245070142272 in words is "two hundred forty-five billion, seventy million, one hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 15758111 31516222 47274333 63032444 94548666 126064888 141822999 189097332 252129776 283645998 378194664 425468997 504259552 567291996 756389328 850937994 1008519104 1134583992 1276406991 1512778656 1701875988 2269167984 2552813982 3025557312 3403751976 3829220973 4538335968 5105627964 6807503952 7658441946 9076671936 10211255928 13615007904 15316883892 20422511856 27230015808 30633767784 40845023712 61267535568 81690047424 122535071136 245070142272