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1999002078 = 23531277479
BaseRepresentation
bin111011100100110…
…0101100111011110
312011022110211100000
41313021211213132
513043221031303
6530205315130
7100352144253
oct16711454736
95138424300
101999002078
11936425937
12479565aa6
1325b1b8088
1414d6b942a
15ba766da3
hex772659de

1999002078 has 96 divisors (see below), whose sum is σ = 4662927360. Its totient is φ = 641170080.

The previous prime is 1999002067. The next prime is 1999002079. The reversal of 1999002078 is 8702009991.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1999002079) by changing a digit.

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, 4173043 + ... + 4173521.

It is an arithmetic number, because the mean of its divisors is an integer number (48572160).

Almost surely, 21999002078 is an apocalyptic number.

1999002078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1999002078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331463680).

1999002078 is an abundant number, since it is smaller than the sum of its proper divisors (2663925282).

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

1999002078 is a wasteful number, since it uses less digits than its factorization.

1999002078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1999002078 is about 44710.2010507669. The cubic root of 1999002078 is about 1259.7114645437.

The spelling of 1999002078 in words is "one billion, nine hundred ninety-nine million, two thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 277 279 479 486 554 558 831 837 958 1437 1662 1674 2493 2511 2874 4311 4986 5022 7479 7533 8587 8622 12933 14849 14958 15066 17174 22437 25761 25866 29698 38799 44547 44874 51522 67311 77283 77598 89094 116397 132683 133641 134622 154566 231849 232794 265366 267282 398049 400923 463698 695547 796098 801846 1194147 1202769 1391094 2086641 2388294 2405538 3582441 3608307 4113173 4173282 7164882 7216614 8226346 10747323 12339519 21494646 24679038 32241969 37018557 64483938 74037114 111055671 222111342 333167013 666334026 999501039 1999002078