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13952746374 = 2372834
BaseRepresentation
bin11001111111010011…
…00000001110000110
31100000101112221210020
430333221200032012
5212033400340444
610224303440010
71002522246600
oct147751401606
940011487706
1013952746374
115a0aa63956
1228548b6006
1314148a5858
149650d6170
15569dec119
hex33fa60386

13952746374 has 60 divisors (see below), whose sum is σ = 32857363404. Its totient is φ = 3938468856.

The previous prime is 13952746351. The next prime is 13952746411. The reversal of 13952746374 is 47364725931.

13952746374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 168105337 + ... + 168105419.

Almost surely, 213952746374 is an apocalyptic number.

13952746374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13952746374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428681702).

13952746374 is an abundant number, since it is smaller than the sum of its proper divisors (18904617030).

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

13952746374 is an frugal number, since it uses more digits than its factorization.

13952746374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 95 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 51.

The spelling of 13952746374 in words is "thirteen billion, nine hundred fifty-two million, seven hundred forty-six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 83 98 147 166 249 294 498 581 1162 1743 3486 4067 6889 8134 12201 13778 20667 24402 41334 48223 96446 144669 289338 337561 571787 675122 1012683 1143574 1715361 2025366 3430722 4002509 8005018 12007527 24015054 28017563 47458321 56035126 84052689 94916642 142374963 168105378 284749926 332208247 664416494 996624741 1993249482 2325457729 4650915458 6976373187 13952746374