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345225522495 = 35741618914771
BaseRepresentation
bin1010000011000010000…
…10110110110100111111
31020000002100201121111210
411001201002312310333
521124010213204440
6422332221015503
733641003344530
oct5014102666477
91200070647453
10345225522495
11123455897777
1256aa73b4593
1326729691cc9
14129cd718687
158ea7ce8a80
hex50610b6d3f

345225522495 has 128 divisors (see below), whose sum is σ = 664697456640. Its totient is φ = 149732352000.

The previous prime is 345225522491. The next prime is 345225522539. The reversal of 345225522495 is 594225522543.

It is not a de Polignac number, because 345225522495 - 22 = 345225522491 is a prime.

It is a super-2 number, since 2×3452255224952 (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 (345225522491) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 23364460 + ... + 23379230.

It is an arithmetic number, because the mean of its divisors is an integer number (5192948880).

Almost surely, 2345225522495 is an apocalyptic number.

345225522495 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345225522495 is a deficient number, since it is larger than the sum of its proper divisors (319471934145).

345225522495 is a wasteful number, since it uses less digits than its factorization.

345225522495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14977.

The product of its digits is 4320000, while the sum is 48.

Adding to 345225522495 its sum of digits (48), we get a palindrome (345225522543).

The spelling of 345225522495 in words is "three hundred forty-five billion, two hundred twenty-five million, five hundred twenty-two thousand, four hundred ninety-five".

Divisors: 1 3 5 7 15 21 35 41 61 89 105 123 183 205 267 287 305 427 445 615 623 861 915 1281 1335 1435 1869 2135 2501 3115 3649 4305 5429 6405 7503 9345 10947 12505 14771 16287 17507 18245 25543 27145 37515 38003 44313 52521 54735 73855 76629 81435 87535 103397 114009 127715 190015 221565 222589 262605 310191 383145 516985 570045 605611 667767 901031 1112945 1314619 1550955 1558123 1816833 2703093 3028055 3338835 3943857 4239277 4505155 4674369 6307217 6573095 7790615 9084165 9202333 12717831 13515465 18921651 19719285 21196385 23371845 27606999 31536085 36942271 46011665 53899379 63589155 80191759 94608255 110826813 138034995 161698137 184711355 240575277 258595897 269496895 377295653 400958795 554134065 561342313 775787691 808490685 1131886959 1202876385 1292979485 1684026939 1886478265 2806711565 3287862119 3878938455 5659434795 8420134695 9863586357 16439310595 23015034833 49317931785 69045104499 115075174165 345225522495