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4006666674 = 233975991277
BaseRepresentation
bin1110111011010000…
…1110000110110010
3101100020020202102000
43232310032012302
531201201313144
61501324434430
7201201050643
oct35664160662
911306222360
104006666674
111776727a7a
129399a8a16
134bb116caa
142a01ab6ca
15186b40769
hexeed0e1b2

4006666674 has 64 divisors (see below), whose sum is σ = 9017568000. Its totient is φ = 1318546944.

The previous prime is 4006666663. The next prime is 4006666687. The reversal of 4006666674 is 4766666004.

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 31 ways as a sum of consecutive naturals, for example, 3136924 + ... + 3138200.

It is an arithmetic number, because the mean of its divisors is an integer number (140899500).

Almost surely, 24006666674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006666674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508784000).

4006666674 is an abundant number, since it is smaller than the sum of its proper divisors (5010901326).

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

4006666674 is a wasteful number, since it uses less digits than its factorization.

4006666674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 4006666674 is about 63298.2359469835. The cubic root of 4006666674 is about 1588.2824529251.

The spelling of 4006666674 in words is "four billion, six million, six hundred sixty-six thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 599 873 1198 1277 1746 1797 2554 2619 3594 3831 5238 5391 7662 10782 11493 16173 22986 32346 34479 58103 68958 116206 123869 174309 247738 348618 371607 522927 743214 764923 1045854 1114821 1529846 1568781 2229642 2294769 3137562 3344463 4589538 6688926 6884307 13768614 20652921 41305842 74197531 148395062 222592593 445185186 667777779 1335555558 2003333337 4006666674