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258834852045 = 325711266328051
BaseRepresentation
bin1111000100001111000…
…0100110100011001101
3220202002122102211201200
43301003300212203031
513220043210231140
6314523533100113
724462111640620
oct3610360464315
9822078384650
10258834852045
119a853587370
12421b7327639
131b53c5684b3
14c755d17db7
156aed773030
hex3c43c268cd

258834852045 has 96 divisors (see below), whose sum is σ = 559582193664. Its totient is φ = 107523504000.

The previous prime is 258834852013. The next prime is 258834852131. The reversal of 258834852045 is 540258438852.

258834852045 is a `hidden beast` number, since 2 + 5 + 88 + 34 + 8 + 520 + 4 + 5 = 666.

It is not a de Polignac number, because 258834852045 - 25 = 258834852013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258834851982 and 258834852000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9213270 + ... + 9241320.

It is an arithmetic number, because the mean of its divisors is an integer number (5828981184).

Almost surely, 2258834852045 is an apocalyptic number.

It is an amenable number.

258834852045 is an abundant number, since it is smaller than the sum of its proper divisors (300747341619).

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

258834852045 is a wasteful number, since it uses less digits than its factorization.

258834852045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30743 (or 30740 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 258834852045 in words is "two hundred fifty-eight billion, eight hundred thirty-four million, eight hundred fifty-two thousand, forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 2663 3465 7989 13315 18641 23967 28051 29293 39945 55923 84153 87879 93205 119835 140255 146465 167769 196357 205051 252459 263637 279615 308561 420765 439395 589071 615153 838845 925683 981785 1025255 1262295 1318185 1542805 1767213 1845459 2159927 2777049 2945355 3075765 4628415 6479781 8836065 9227295 10799635 13885245 19439343 32398905 74699813 97196715 224099439 373499065 522898691 672298317 821697943 1120497195 1568696073 2465093829 2614493455 3361491585 4108489715 4706088219 5751885601 7395281487 7843480365 12325469145 17255656803 23530441095 28759428005 36976407435 51766970409 86278284015 258834852045