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16902876340 = 22572791092003
BaseRepresentation
bin11111011110111110…
…10110110010110100
31121121222202002022001
433233133112302310
5234104114020330
611433131145044
71135604035600
oct175737266264
947558662261
1016902876340
117194262199
1233388a5184
131794b48b9c
14b64c3a500
1568ddde9ca
hex3ef7d6cb4

16902876340 has 144 divisors (see below), whose sum is σ = 42218668800. Its totient is φ = 5666588928.

The previous prime is 16902876337. The next prime is 16902876343. The reversal of 16902876340 is 4367820961.

It is an interprime number because it is at equal distance from previous prime (16902876337) and next prime (16902876343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16902876343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8437779 + ... + 8439781.

It is an arithmetic number, because the mean of its divisors is an integer number (293185200).

Almost surely, 216902876340 is an apocalyptic number.

16902876340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16902876340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21109334400).

16902876340 is an abundant number, since it is smaller than the sum of its proper divisors (25315792460).

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

16902876340 is a wasteful number, since it uses less digits than its factorization.

16902876340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 16902876340 in words is "sixteen billion, nine hundred two million, eight hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 79 98 109 140 158 196 218 245 316 395 436 490 545 553 763 790 980 1090 1106 1526 1580 2003 2180 2212 2765 3052 3815 3871 4006 5341 5530 7630 7742 8012 8611 10015 10682 11060 14021 15260 15484 17222 19355 20030 21364 26705 28042 34444 38710 40060 43055 53410 56084 60277 70105 77420 86110 98147 106820 120554 140210 158237 172220 196294 218327 241108 280420 301385 316474 392588 421939 436654 490735 602770 632948 791185 843878 873308 981470 1091635 1107659 1205540 1528289 1582370 1687756 1962940 2109695 2183270 2215318 3056578 3164740 4219390 4366540 4430636 5538295 6113156 7641445 7753613 8438780 10698023 11076590 15282890 15507226 17247833 21396046 22153180 30565780 31014452 34495666 38768065 42792092 53490115 68991332 77536130 86239165 106980230 120734831 155072260 172478330 213960460 241469662 344956660 482939324 603674155 845143817 1207348310 1690287634 2414696620 3380575268 4225719085 8451438170 16902876340