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49545187618122 = 232717143691609739
BaseRepresentation
bin10110100001111101000110…
…10011101110110101001010
320111102110210022102101122100
423100332203103232311022
522443222021012234442
6253212424525334230
713302343636104360
oct1320764323566512
9214373708371570
1049545187618122
1114871aa5851a39
125682233107376
1321851253268a1
14c33ddd931630
155adbb617a84c
hex2d0fa34eed4a

49545187618122 has 96 divisors (see below), whose sum is σ = 129909108700800. Its totient is φ = 13322140176384.

The previous prime is 49545187618117. The next prime is 49545187618127. The reversal of 49545187618122 is 22181678154594.

49545187618122 is a `hidden beast` number, since 4 + 9 + 5 + 4 + 5 + 1 + 8 + 7 + 618 + 1 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (49545187618117) and next prime (49545187618127).

It is a super-2 number, since 2×495451876181222 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 49545187618122.

It is not an unprimeable number, because it can be changed into a prime (49545187618127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29973529 + ... + 31583267.

It is an arithmetic number, because the mean of its divisors is an integer number (1353219882300).

Almost surely, 249545187618122 is an apocalyptic number.

49545187618122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

49545187618122 is an abundant number, since it is smaller than the sum of its proper divisors (80363921082678).

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

49545187618122 is a wasteful number, since it uses less digits than its factorization.

49545187618122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624140 (or 1624137 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 49545187618122 in words is "forty-nine trillion, five hundred forty-five billion, one hundred eighty-seven million, six hundred eighteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 14369 28738 43107 86214 100583 129321 201166 244273 258642 301749 488546 603498 732819 905247 1465638 1609739 1709911 1810494 2198457 3219478 3419822 4396914 4829217 5129733 9658434 10259466 11268173 14487651 15389199 22536346 27365563 28975302 30778398 33804519 54731126 67609038 82096689 101413557 164193378 191558941 202827114 246290067 383117882 492580134 574676823 1149353646 1724030469 3448060938 23130339691 46260679382 69391019073 138782038146 161912377837 208173057219 323824755674 393215774747 416346114438 485737133511 786431549494 971474267022 1179647324241 1457211400533 2359294648482 2752510423229 2914422801066 3538941972723 5505020846458 7077883945446 8257531269687 16515062539374 24772593809061 49545187618122