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270552117612 = 22373571115117
BaseRepresentation
bin1111101111111000101…
…0011011000101101100
3221212100020112121100110
43323332022123011230
513413042320230422
6324142342500020
725355351025000
oct3737612330554
9855306477313
10270552117612
11a4816687417
1244527434610
131c688c68b2a
14d148178700
15708729560c
hex3efe29b16c

270552117612 has 96 divisors (see below), whose sum is σ = 737491955200. Its totient is φ = 77164557120.

The previous prime is 270552117611. The next prime is 270552117613. The reversal of 270552117612 is 216711255072.

It is an interprime number because it is at equal distance from previous prime (270552117611) and next prime (270552117613).

It is not an unprimeable number, because it can be changed into a prime (270552117611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292678 + ... + 2407794.

Almost surely, 2270552117612 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 270552117612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368745977600).

270552117612 is an abundant number, since it is smaller than the sum of its proper divisors (466939837588).

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

270552117612 is a wasteful number, since it uses less digits than its factorization.

270552117612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115716 (or 115700 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 270552117612 in words is "two hundred seventy billion, five hundred fifty-two million, one hundred seventeen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 571 588 686 1029 1142 1372 1713 2058 2284 3426 3997 4116 6852 7994 11991 15988 23982 27979 47964 55958 83937 111916 115117 167874 195853 230234 335748 345351 391706 460468 587559 690702 783412 805819 1175118 1381404 1611638 2350236 2417457 3223276 4834914 5640733 9669828 11281466 16922199 22562932 33844398 39485131 65731807 67688796 78970262 118455393 131463614 157940524 197195421 236910786 262927228 394390842 460122649 473821572 788781684 920245298 1380367947 1840490596 2760735894 3220858543 5521471788 6441717086 9662575629 12883434172 19325151258 22546009801 38650302516 45092019602 67638029403 90184039204 135276058806 270552117612