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6942998112 = 253299672579
BaseRepresentation
bin1100111011101010…
…11011111001100000
3122220212110211220020
412131311123321200
5103204401414422
63104540313440
7334024340001
oct63565337140
918825424806
106942998112
112a43161276
121419242880
1386856880b
1449c15d1a8
152a980995c
hex19dd5be60

6942998112 has 96 divisors (see below), whose sum is σ = 18880646400. Its totient is φ = 2231351808.

The previous prime is 6942998087. The next prime is 6942998119. The reversal of 6942998112 is 2118992496.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6942998119) 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 15 ways as a sum of consecutive naturals, for example, 2690839 + ... + 2693417.

It is an arithmetic number, because the mean of its divisors is an integer number (196673400).

Almost surely, 26942998112 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 6942998112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9440323200).

6942998112 is an abundant number, since it is smaller than the sum of its proper divisors (11937648288).

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

6942998112 is a wasteful number, since it uses less digits than its factorization.

6942998112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3580 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 6942998112 is about 83324.6548867741. The cubic root of 6942998112 is about 1907.7246107380.

The spelling of 6942998112 in words is "six billion, nine hundred forty-two million, nine hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 967 1392 1934 2579 2784 2901 3868 5158 5802 7736 7737 10316 11604 15472 15474 20632 23208 28043 30944 30948 41264 46416 56086 61896 74791 82528 84129 92832 112172 123792 149582 168258 224344 224373 247584 299164 336516 448688 448746 598328 673032 897376 897492 1196656 1346064 1794984 2393312 2493893 2692128 3589968 4987786 7179936 7481679 9975572 14963358 19951144 29926716 39902288 59853432 72322897 79804576 119706864 144645794 216968691 239413728 289291588 433937382 578583176 867874764 1157166352 1735749528 2314332704 3471499056 6942998112