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111979244688 = 24373191167317
BaseRepresentation
bin110100001001001111…
…0111010110010010000
3101201001000201000122220
41220102132322302100
53313313141312223
6123235331501040
711042643606063
oct1502236726220
9351030630586
10111979244688
1143543400a23
1219851757780
13a7375880cc
1455c3dd88da
152da5c5a6e3
hex1a127bac90

111979244688 has 80 divisors (see below), whose sum is σ = 294779513856. Its totient is φ = 36622126080.

The previous prime is 111979244659. The next prime is 111979244717. The reversal of 111979244688 is 886442979111.

It is a Cunningham number, because it is equal to 3346332-1.

It is an interprime number because it is at equal distance from previous prime (111979244659) and next prime (111979244717).

It is a super-3 number, since 3×1119792446883 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585606 + ... + 752922.

Almost surely, 2111979244688 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 111979244688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147389756928).

111979244688 is an abundant number, since it is smaller than the sum of its proper divisors (182800269168).

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

111979244688 is a wasteful number, since it uses less digits than its factorization.

111979244688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167592 (or 167586 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 60.

The spelling of 111979244688 in words is "one hundred eleven billion, nine hundred seventy-nine million, two hundred forty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 191 219 292 382 438 573 584 764 876 1146 1168 1528 1752 2292 3056 3504 4584 9168 13943 27886 41829 55772 83658 111544 167316 167317 223088 334632 334634 501951 669264 669268 1003902 1338536 2007804 2677072 4015608 8031216 12214141 24428282 31957547 36642423 48856564 63915094 73284846 95872641 97713128 127830188 146569692 191745282 195426256 255660376 293139384 383490564 511320752 586278768 766981128 1533962256 2332900931 4665801862 6998702793 9331603724 13997405586 18663207448 27994811172 37326414896 55989622344 111979244688