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18442477812 = 223112174118223
BaseRepresentation
bin10001001011010000…
…011110000011110100
31202121021202221110210
4101023100132003310
5300232233242222
612250010145420
71222010321613
oct211320360364
952537687423
1018442477812
117904330600
1236a8422270
13197bac5485
14c6d4cb87a
1572e15cd0c
hex44b41e0f4

18442477812 has 144 divisors (see below), whose sum is σ = 51306829056. Its totient is φ = 5131315200.

The previous prime is 18442477811. The next prime is 18442477843. The reversal of 18442477812 is 21877424481.

It is a super-2 number, since 2×184424778122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18442477811) 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, 1002933 + ... + 1021155.

It is an arithmetic number, because the mean of its divisors is an integer number (356297424).

Almost surely, 218442477812 is an apocalyptic number.

18442477812 is a gapful number since it is divisible by the number (12) 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 18442477812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25653414528).

18442477812 is an abundant number, since it is smaller than the sum of its proper divisors (32864351244).

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

18442477812 is a wasteful number, since it uses less digits than its factorization.

18442477812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18310 (or 18297 counting only the distinct ones).

The product of its digits is 802816, while the sum is 48.

The spelling of 18442477812 in words is "eighteen billion, four hundred forty-two million, four hundred seventy-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 41 44 51 66 68 82 102 121 123 132 164 187 204 242 246 363 374 451 484 492 561 697 726 748 902 1122 1353 1394 1452 1804 2057 2091 2244 2706 2788 4114 4182 4961 5412 6171 7667 8228 8364 9922 12342 14883 15334 18223 19844 23001 24684 29766 30668 36446 46002 54669 59532 72892 84337 92004 109338 168674 200453 218676 253011 309791 337348 400906 506022 601359 619582 747143 801812 929373 1012044 1202718 1239164 1494286 1858746 2204983 2241429 2405436 2988572 3407701 3717492 4409966 4482858 6614949 6815402 8218573 8819932 8965716 10223103 12701431 13229898 13630804 16437146 20446206 24655719 25402862 26459796 32874292 37484711 38104293 40892412 49311438 50805724 74969422 76208586 90404303 98622876 112454133 139715741 149938844 152417172 180808606 224908266 271212909 279431482 361617212 419147223 449816532 542425818 558862964 838294446 1084851636 1536873151 1676588892 3073746302 4610619453 6147492604 9221238906 18442477812