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13638042012 = 22372103322453
BaseRepresentation
bin11001011001110010…
…00000000110011100
31022012110101022120010
430230321000012130
5210412314321022
610133142323220
7661651305300
oct145471000634
938173338503
1013638042012
115869356901
122787429510
131394629b5a
149353b5d00
1554c48650c
hex32ce4019c

13638042012 has 72 divisors (see below), whose sum is σ = 37055027856. Its totient is φ = 3892637952.

The previous prime is 13638042007. The next prime is 13638042013. The reversal of 13638042012 is 21024083631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13638042013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596178 + ... + 618630.

Almost surely, 213638042012 is an apocalyptic number.

13638042012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13638042012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18527513928).

13638042012 is an abundant number, since it is smaller than the sum of its proper divisors (23416985844).

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

13638042012 is a wasteful number, since it uses less digits than its factorization.

13638042012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23507 (or 23498 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 13638042012 in words is "thirteen billion, six hundred thirty-eight million, forty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1033 2066 3099 4132 6198 7231 12396 14462 21693 22453 28924 43386 44906 50617 67359 86772 89812 101234 134718 151851 157171 202468 269436 303702 314342 471513 607404 628684 943026 1100197 1886052 2200394 3300591 4400788 6601182 13202364 23193949 46387898 69581847 92775796 139163694 162357643 278327388 324715286 487072929 649430572 974145858 1136503501 1948291716 2273007002 3409510503 4546014004 6819021006 13638042012