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6990791346 = 2347114113669
BaseRepresentation
bin1101000001010111…
…10000001010110010
3200001012101222220000
412200223300022302
5103304120310341
63113404530430
7335144513610
oct64053601262
920035358800
106990791346
112a68135010
121431250a16
13875430636
144a46406b0
152adaea8b6
hex1a0af02b2

6990791346 has 160 divisors (see below), whose sum is σ = 20007630720. Its totient is φ = 1771372800.

The previous prime is 6990791333. The next prime is 6990791363. The reversal of 6990791346 is 6431970996.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6990791292 and 6990791301.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 504600 + ... + 518268.

It is an arithmetic number, because the mean of its divisors is an integer number (125047692).

Almost surely, 26990791346 is an apocalyptic number.

6990791346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6990791346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10003815360).

6990791346 is an abundant number, since it is smaller than the sum of its proper divisors (13016839374).

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

6990791346 is a wasteful number, since it uses less digits than its factorization.

6990791346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13742 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 6990791346 is about 83610.9523088931. The cubic root of 6990791346 is about 1912.0919803165.

The spelling of 6990791346 in words is "six billion, nine hundred ninety million, seven hundred ninety-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 41 42 54 63 66 77 81 82 99 123 126 154 162 189 198 231 246 287 297 369 378 451 462 567 574 594 693 738 861 891 902 1107 1134 1353 1386 1722 1782 2079 2214 2583 2706 3157 3321 4059 4158 5166 6237 6314 6642 7749 8118 9471 12177 12474 13669 15498 18942 23247 24354 27338 28413 36531 41007 46494 56826 73062 82014 85239 95683 123021 150359 170478 191366 246042 255717 287049 300718 369063 451077 511434 560429 574098 738126 861147 902154 1052513 1107189 1120858 1353231 1681287 1722294 2105026 2214378 2583441 2706462 3157539 3362574 3923003 4059693 5043861 5166882 6164719 6315078 7750323 7846006 8119386 9472617 10087722 11769009 12179079 12329438 15131583 15500646 18494157 18945234 23538018 24358158 28417851 30263166 35307027 36988314 43153033 45394749 55482471 56835702 70614054 85253553 86306066 90789498 105921081 110964942 129459099 166447413 170507106 211842162 258918198 317763243 332894826 388377297 499342239 635526486 776754594 998684478 1165131891 2330263782 3495395673 6990791346