Search a number
-
+
3712821861654 = 234271103381869
BaseRepresentation
bin110110000001110101011…
…011011001110100010110
3111010221102221100201210000
4312001311123121310112
5441312324344033104
611521351413512130
7532146121052343
oct66016533316426
914127387321700
103712821861654
111201665169854
124bb6a0642646
1320c16b49a119
14cb9b70357ca
15668a42b1639
hex360756d9d16

3712821861654 has 80 divisors (see below), whose sum is σ = 8358355874880. Its totient is φ = 1231831774080.

The previous prime is 3712821861569. The next prime is 3712821861659. The reversal of 3712821861654 is 4561681282173.

It is a happy number.

3712821861654 is a `hidden beast` number, since 3 + 7 + 1 + 2 + 8 + 2 + 18 + 616 + 5 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3712821861654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712821861659) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45309832 + ... + 45391700.

It is an arithmetic number, because the mean of its divisors is an integer number (104479448436).

Almost surely, 23712821861654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3712821861654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179177937440).

3712821861654 is an abundant number, since it is smaller than the sum of its proper divisors (4645534013226).

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

3712821861654 is a wasteful number, since it uses less digits than its factorization.

3712821861654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83187 (or 83178 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 3712821861654 in words is "three trillion, seven hundred twelve billion, eight hundred twenty-one million, eight hundred sixty-one thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 271 542 813 1033 1626 2066 2439 3099 4878 6198 7317 9297 14634 18594 21951 27891 43902 55782 81869 83673 163738 167346 245607 279943 491214 559886 736821 839829 1473642 1679658 2210463 2519487 4420926 5038974 6631389 7558461 13262778 15116922 22186499 22675383 44372998 45350766 66559497 84570677 133118994 169141354 199678491 253712031 399356982 507424062 599035473 761136093 1198070946 1522272186 1797106419 2283408279 3594212838 4566816558 6850224837 13700449674 22918653467 45837306934 68755960401 137511920802 206267881203 412535762406 618803643609 1237607287218 1856410930827 3712821861654