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4096780002 = 2327733131423
BaseRepresentation
bin1111010000101111…
…1110011011100010
3101120111210222122200
43310023332123202
531342233430002
61514304114030
7203344025010
oct36413763342
911514728580
104096780002
1118125864a7
12964005916
135039a86a3
142ac1478b0
1518e9e0b1c
hexf42fe6e2

4096780002 has 96 divisors (see below), whose sum is σ = 10323475968. Its totient is φ = 1149977088.

The previous prime is 4096779997. The next prime is 4096780013. The reversal of 4096780002 is 2000876904.

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 47 ways as a sum of consecutive naturals, for example, 2878263 + ... + 2879685.

It is an arithmetic number, because the mean of its divisors is an integer number (107536208).

Almost surely, 24096780002 is an apocalyptic number.

4096780002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4096780002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161737984).

4096780002 is an abundant number, since it is smaller than the sum of its proper divisors (6226695966).

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

4096780002 is a wasteful number, since it uses less digits than its factorization.

4096780002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1821 counting only the distinct ones).

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

The square root of 4096780002 is about 64006.0934755434. The cubic root of 4096780002 is about 1600.1015563142.

The spelling of 4096780002 in words is "four billion, ninety-six million, seven hundred eighty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 313 438 511 626 657 939 1022 1314 1423 1533 1878 2191 2817 2846 3066 4269 4382 4599 5634 6573 8538 9198 9961 12807 13146 19719 19922 22849 25614 29883 39438 45698 59766 68547 89649 103879 137094 159943 179298 205641 207758 311637 319886 411282 445399 479829 623274 727153 890798 934911 959658 1336197 1439487 1454306 1869822 2181459 2672394 2878974 3117793 4008591 4362918 6235586 6544377 8017182 9353379 13088754 18706758 28060137 32514127 56120274 65028254 97542381 195084762 227598889 292627143 455197778 585254286 682796667 1365593334 2048390001 4096780002