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154253206745 = 511311315031373
BaseRepresentation
bin1000111110101000110…
…1010010010011011001
3112202011011121210200022
42033222031102103121
510011402310103440
6154510221320225
714100352423631
oct2175215222331
9482134553608
10154253206745
115a466a06350
1225a8b106075
1311713797041
1476745b76c1
15402c1bdcb5
hex23ea3524d9

154253206745 has 64 divisors (see below), whose sum is σ = 210607423488. Its totient is φ = 107444064000.

The previous prime is 154253206727. The next prime is 154253206753. The reversal of 154253206745 is 547602352451.

154253206745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 154253206745 - 222 = 154249012441 is a prime.

It is a super-2 number, since 2×1542532067452 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 154253206696 and 154253206705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112346879 + ... + 112348251.

It is an arithmetic number, because the mean of its divisors is an integer number (3290740992).

Almost surely, 2154253206745 is an apocalyptic number.

It is an amenable number.

154253206745 is a deficient number, since it is larger than the sum of its proper divisors (56354216743).

154253206745 is a wasteful number, since it uses less digits than its factorization.

154253206745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054.

The product of its (nonzero) digits is 1008000, while the sum is 44.

The spelling of 154253206745 in words is "one hundred fifty-four billion, two hundred fifty-three million, two hundred six thousand, seven hundred forty-five".

Divisors: 1 5 11 31 55 131 155 341 503 655 1373 1441 1705 2515 4061 5533 6865 7205 15103 15593 20305 27665 42563 44671 65893 75515 77965 171523 179863 212815 223355 329465 468193 690619 724823 857615 899315 1978493 2042683 2340965 3453095 3624115 5575753 7596809 9892465 10213415 21409189 22469513 27878765 37984045 61333283 90471089 107045945 112347565 235501079 306666415 452355445 995181979 1177505395 2804603759 4975909895 14023018795 30850641349 154253206745