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106642723463376 = 24310457212462791
BaseRepresentation
bin11000001111110110110001…
…101001100110000011010000
3111222120221111202102221120120
4120033312301221212003100
5102434213244201312001
61014450554004110240
731314453050020632
oct3017666151460320
9458527452387516
10106642723463376
1130a85a1a252541
12bb640a8395380
13476749a4c5b89
141c4976d032a52
15c4e04e229236
hex60fdb1a660d0

106642723463376 has 40 divisors (see below), whose sum is σ = 275520048963264. Its totient is φ = 35544174915840.

The previous prime is 106642723463333. The next prime is 106642723463387. The reversal of 106642723463376 is 673364327246601.

It is a happy number.

It is a super-2 number, since 2×1066427234633762 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105729460 + ... + 106733331.

Almost surely, 2106642723463376 is an apocalyptic number.

106642723463376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106642723463376 is an abundant number, since it is smaller than the sum of its proper divisors (168877325499888).

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

106642723463376 is a wasteful number, since it uses less digits than its factorization.

106642723463376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212473259 (or 212473253 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 60.

The spelling of 106642723463376 in words is "one hundred six trillion, six hundred forty-two billion, seven hundred twenty-three million, four hundred sixty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 10457 20914 31371 41828 62742 83656 125484 167312 250968 501936 212462791 424925582 637388373 849851164 1274776746 1699702328 2549553492 3399404656 5099106984 10198213968 2221723405487 4443446810974 6665170216461 8886893621948 13330340432922 17773787243896 26660680865844 35547574487792 53321361731688 106642723463376