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275214412572 = 2231171277106013
BaseRepresentation
bin1000000000101000000…
…11101010101100011100
3222022101011110201200120
410000110003222230130
514002114342200242
6330233131554540
725612032623451
oct4002403525434
9868334421616
10275214412572
11a67993a7650
12454088bba50
131cc4cb57848
14d46b44d828
15725b7411ec
hex40140eab1c

275214412572 has 96 divisors (see below), whose sum is σ = 712984011264. Its totient is φ = 81926073600.

The previous prime is 275214412559. The next prime is 275214412589.

275214412572 is nontrivially palindromic in base 10.

275214412572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2543038 + ... + 2649050.

It is an arithmetic number, because the mean of its divisors is an integer number (7426916784).

Almost surely, 2275214412572 is an apocalyptic number.

275214412572 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275214412572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356492005632).

275214412572 is an abundant number, since it is smaller than the sum of its proper divisors (437769598692).

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

275214412572 is a wasteful number, since it uses less digits than its factorization.

275214412572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106379 (or 106377 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

It can be divided in two parts, 275214 and 412572, that added together give a palindrome (687786).

The spelling of 275214412572 in words is "two hundred seventy-five billion, two hundred fourteen million, four hundred twelve thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 277 284 426 554 781 831 852 1108 1562 1662 2343 3047 3124 3324 4686 6094 9141 9372 12188 18282 19667 36564 39334 59001 78668 106013 118002 212026 216337 236004 318039 424052 432674 636078 649011 865348 1166143 1272156 1298022 2332286 2596044 3498429 4664572 6996858 7526923 13993716 15053846 22580769 29365601 30107692 45161538 58731202 82796153 88096803 90323076 117462404 165592306 176193606 248388459 323021611 331184612 352387212 496776918 646043222 969064833 993553836 1292086444 1938129666 2084957671 3876259332 4169915342 6254873013 8339830684 12509746026 22934534381 25019492052 45869068762 68803603143 91738137524 137607206286 275214412572