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13361974002 = 2341319931883
BaseRepresentation
bin11000111000110111…
…11000101011110010
31021111012220121110000
430130123320223302
5204331131132002
610045521250430
7652056622266
oct143433705362
937435817400
1013361974002
115737538923
12270aa93a16
13134c38b0c0
1490a8720a6
1553310361c
hex31c6f8af2

13361974002 has 80 divisors (see below), whose sum is σ = 32406897600. Its totient is φ = 4090588128.

The previous prime is 13361973979. The next prime is 13361974027. The reversal of 13361974002 is 20047916331.

13361974002 is a `hidden beast` number, since 1 + 33 + 619 + 7 + 4 + 0 + 0 + 2 = 666.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 403153 + ... + 435035.

It is an arithmetic number, because the mean of its divisors is an integer number (405086220).

Almost surely, 213361974002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13361974002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16203448800).

13361974002 is an abundant number, since it is smaller than the sum of its proper divisors (19044923598).

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

13361974002 is a wasteful number, since it uses less digits than its factorization.

13361974002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32109 (or 32100 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13361974002 in words is "thirteen billion, three hundred sixty-one million, nine hundred seventy-four thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 199 234 351 398 597 702 1053 1194 1791 2106 2587 3582 5174 5373 7761 10746 15522 16119 23283 31883 32238 46566 63766 69849 95649 139698 191298 209547 286947 414479 419094 573894 828958 860841 1243437 1721682 2486874 2582523 3730311 5165046 6344717 7460622 11190933 12689434 19034151 22381866 33572799 38068302 57102453 67145598 82481321 114204906 164962642 171307359 247443963 342614718 494887926 513922077 742331889 1027844154 1484663778 2226995667 4453991334 6680987001 13361974002