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4191420672 = 28321995747
BaseRepresentation
bin1111100111010100…
…0000000100000000
3101211002220020020200
43321311000010000
532041000430142
61531524405200
7205603326225
oct37165000400
911732806220
104191420672
111860a4742a
1298b846800
1351a49399a
142ba94194c
15197e8764c
hexf9d40100

4191420672 has 108 divisors (see below), whose sum is σ = 12721079280. Its totient is φ = 1323592704.

The previous prime is 4191420647. The next prime is 4191420697. The reversal of 4191420672 is 2760241914.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4191420647) and next prime (4191420697).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4098 + ... + 91649.

Almost surely, 24191420672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4191420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360539640).

4191420672 is an abundant number, since it is smaller than the sum of its proper divisors (8529658608).

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

4191420672 is a wasteful number, since it uses less digits than its factorization.

4191420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95788 (or 95771 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4191420672 is about 64741.1821949522. The cubic root of 4191420672 is about 1612.3293151226.

The spelling of 4191420672 in words is "four billion, one hundred ninety-one million, four hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 43776 95747 191494 287241 382988 574482 765976 861723 1148964 1531952 1723446 1819193 2297928 3063904 3446892 3638386 4595856 5457579 6127808 6893784 7276772 9191712 10915158 12255616 13787568 14553544 16372737 18383424 21830316 24511232 27575136 29107088 32745474 36766848 43660632 55150272 58214176 65490948 73533696 87321264 110300544 116428352 130981896 174642528 220601088 232856704 261963792 349285056 465713408 523927584 698570112 1047855168 1397140224 2095710336 4191420672