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16961916942 = 234131853937
BaseRepresentation
bin11111100110000001…
…00101000000001110
31121210002211122210000
433303000211000032
5234214222320232
611443040425130
71140221625615
oct176300450016
947702748700
1016961916942
117214618283
1233546181a6
1317a414b259
14b6ca0887c
156941a327c
hex3f302500e

16961916942 has 80 divisors (see below), whose sum is σ = 38383207632. Its totient is φ = 5598253440.

The previous prime is 16961916929. The next prime is 16961916943. The reversal of 16961916942 is 24961916961.

16961916942 is a `hidden beast` number, since 1 + 6 + 9 + 619 + 16 + 9 + 4 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16961916943) 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, 18101898 + ... + 18102834.

Almost surely, 216961916942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16961916942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19191603816).

16961916942 is an abundant number, since it is smaller than the sum of its proper divisors (21421290690).

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

16961916942 is a wasteful number, since it uses less digits than its factorization.

16961916942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1926 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 16961916942 in words is "sixteen billion, nine hundred sixty-one million, nine hundred sixteen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 262 393 786 853 937 1179 1706 1874 2358 2559 2811 3537 5118 5622 7074 7677 8433 10611 15354 16866 21222 23031 25299 46062 50598 69093 75897 111743 122747 138186 151794 223486 245494 335229 368241 670458 736482 799261 1005687 1104723 1598522 2011374 2209446 2397783 3017061 3314169 4795566 6034122 6628338 7193349 9051183 9942507 14386698 18102366 19885014 21580047 43160094 64740141 104703191 129480282 209406382 314109573 628219146 942328719 1884657438 2826986157 5653972314 8480958471 16961916942