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3973947000001 = 1137731018871493
BaseRepresentation
bin111001110101000001101…
…100110000010011000001
3112001220110012101011200021
4321311001230300103001
51010102120413000001
612241334523453441
7560052053106646
oct71650154602301
915056405334607
103973947000001
1112a2383532110
12542216987281
1322a9843892c4
14da4a91addcd
156d588b37ba1
hex39d41b304c1

3973947000001 has 64 divisors (see below), whose sum is σ = 4566256436736. Its totient is φ = 3426395904000.

The previous prime is 3973946999987. The next prime is 3973947000007. The reversal of 3973947000001 is 1000007493793.

It is a cyclic number.

It is not a de Polignac number, because 3973947000001 - 27 = 3973946999873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3973947000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2661718611 + ... + 2661720103.

It is an arithmetic number, because the mean of its divisors is an integer number (71347756824).

Almost surely, 23973947000001 is an apocalyptic number.

It is an amenable number.

3973947000001 is a deficient number, since it is larger than the sum of its proper divisors (592309436735).

3973947000001 is a wasteful number, since it uses less digits than its factorization.

3973947000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602.

The product of its (nonzero) digits is 142884, while the sum is 43.

The spelling of 3973947000001 in words is "three trillion, nine hundred seventy-three billion, nine hundred forty-seven million, one", and thus it is an aban number.

Divisors: 1 11 37 73 101 407 803 887 1111 1493 2701 3737 7373 9757 16423 29711 32819 41107 55241 64751 81103 89587 108989 150793 272801 361009 607651 712261 985457 1198879 1324291 1658723 2395787 3000811 3314719 4032593 5579341 6539851 11007889 14567201 26353657 36461909 44358523 48998767 61372751 71938361 96673243 121086779 133753391 241974487 407291893 538986437 1063405673 1471287301 2661719357 3576909991 4480210823 4948875467 9763997543 39346009901 54437630137 107403972973 361267909091 3973947000001