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275700141464 = 231171109404827
BaseRepresentation
bin1000000001100010000…
…00100100110110011000
3222100122000110022110112
410000301000210312120
514004113214011324
6330353242503452
725630051351616
oct4006100446630
9870560408415
10275700141464
11a6a185a6990
1245523504b88
131ccc9683ca7
14d4b5b6c6b6
1572891dac0e
hex4031024d98

275700141464 has 64 divisors (see below), whose sum is σ = 577122796800. Its totient is φ = 122419382400.

The previous prime is 275700141439. The next prime is 275700141467. The reversal of 275700141464 is 464141007572.

275700141464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2757001414642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275700141467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478619 + ... + 883445.

It is an arithmetic number, because the mean of its divisors is an integer number (9017543700).

Almost surely, 2275700141464 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 275700141464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288561398400).

275700141464 is an abundant number, since it is smaller than the sum of its proper divisors (301422655336).

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

275700141464 is a wasteful number, since it uses less digits than its factorization.

275700141464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405024 (or 405020 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 275700141464 in words is "two hundred seventy-five billion, seven hundred million, one hundred forty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 71 88 109 142 218 284 436 568 781 872 1199 1562 2398 3124 4796 6248 7739 9592 15478 30956 61912 85129 170258 340516 404827 681032 809654 1619308 3238616 4453097 8906194 17812388 28742717 35624776 44126143 57485434 88252286 114970868 176504572 229941736 316169887 353009144 485387573 632339774 970775146 1264679548 1941550292 2529359096 3132956153 3883100584 6265912306 12531824612 25063649224 34462517683 68925035366 137850070732 275700141464