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3974590420101 = 3271913192517407
BaseRepresentation
bin111001110101101000000…
…011001101010010000101
3112001222010001002022010100
4321311220003031102011
51010104430121420401
612241522430314313
7560104025100210
oct71655003152205
915058101068110
103974590420101
1112a2683747164
12542376358999
1322aa57778362
14da52a81a777
156d5c5380b86
hex39d680cd485

3974590420101 has 48 divisors (see below), whose sum is σ = 6911795404800. Its totient is φ = 2150025837984.

The previous prime is 3974590420051. The next prime is 3974590420153. The reversal of 3974590420101 is 1010240954793.

3974590420101 is a `hidden beast` number, since 3 + 9 + 7 + 4 + 590 + 42 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 3974590420101 - 221 = 3974588322949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974590420301) 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 47 ways as a sum of consecutive naturals, for example, 320140 + ... + 2837546.

It is an arithmetic number, because the mean of its divisors is an integer number (143995737600).

Almost surely, 23974590420101 is an apocalyptic number.

It is an amenable number.

3974590420101 is a deficient number, since it is larger than the sum of its proper divisors (2937204984699).

3974590420101 is a wasteful number, since it uses less digits than its factorization.

3974590420101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518758 (or 2518755 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 3974590420101 in words is "three trillion, nine hundred seventy-four billion, five hundred ninety million, four hundred twenty thousand, one hundred one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 1319 3957 9233 11871 25061 27699 75183 83097 175427 225549 526281 1578843 2517407 7552221 17621849 22656663 47830733 52865547 143492199 158596641 334815131 430476597 1004445393 3013336179 3320459833 9961379499 23243218831 29884138497 63088736827 69729656493 189266210481 209188969479 441621157789 567798631443 1324863473367 3974590420101