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16968195006 = 23721713724781
BaseRepresentation
bin11111100110110001…
…00001101110111110
31121210112122121122220
433303120201232332
5234222324220011
611443423150210
71140326164200
oct176330415676
947715577586
1016968195006
117218116064
123356745366
1317a5538999
14b6d7a0770
156949e3506
hex3f3621bbe

16968195006 has 96 divisors (see below), whose sum is σ = 42106005792. Its totient is φ = 4529387520.

The previous prime is 16968194987. The next prime is 16968195011. The reversal of 16968195006 is 60059186961.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 16968195006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672336 + ... + 697116.

It is an arithmetic number, because the mean of its divisors is an integer number (438604227).

Almost surely, 216968195006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16968195006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21053002896).

16968195006 is an abundant number, since it is smaller than the sum of its proper divisors (25137810786).

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

16968195006 is a wasteful number, since it uses less digits than its factorization.

16968195006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24954 (or 24947 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 16968195006 in words is "sixteen billion, nine hundred sixty-eight million, one hundred ninety-five thousand, six".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 137 147 238 274 294 357 411 714 822 833 959 1666 1918 2329 2499 2877 4658 4998 5754 6713 6987 13426 13974 16303 20139 24781 32606 40278 48909 49562 74343 97818 114121 148686 173467 228242 342363 346934 421277 520401 684726 842554 1040802 1214269 1263831 2428538 2527662 2948939 3394997 3642807 5897878 6789994 7285614 8846817 10184991 17693634 20369982 20642573 23764979 41285146 47529958 57714949 61927719 71294937 115429898 123855438 142589874 166354853 173144847 332709706 346289694 404004643 499064559 808009286 998129118 1212013929 2424027858 2828032501 5656065002 8484097503 16968195006