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137428596396 = 223271359711019
BaseRepresentation
bin111111111111101100…
…0011111011010101100
3111010201122011001010200
41333333120133122230
54222423210041041
6143044523433500
712633415536540
oct1777730373254
9433648131120
10137428596396
11533129505a3
1222774685890
13cc61c221c0
146919d11a20
1538950de1b6
hex1fff61f6ac

137428596396 has 144 divisors (see below), whose sum is σ = 434802950400. Its totient is φ = 35630534016.

The previous prime is 137428596359. The next prime is 137428596401. The reversal of 137428596396 is 693695824731.

137428596396 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 2 + 8 + 596 + 39 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162226 + ... + 548793.

Almost surely, 2137428596396 is an apocalyptic number.

It is an amenable number.

137428596396 is an abundant number, since it is smaller than the sum of its proper divisors (297374354004).

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

137428596396 is a wasteful number, since it uses less digits than its factorization.

137428596396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711108 (or 711103 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 137428596396 in words is "one hundred thirty-seven billion, four hundred twenty-eight million, five hundred ninety-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 59 63 78 84 91 117 118 126 156 177 182 234 236 252 273 354 364 413 468 531 546 708 767 819 826 1062 1092 1239 1534 1638 1652 2124 2301 2478 3068 3276 3717 4602 4956 5369 6903 7434 9204 10738 13806 14868 16107 21476 27612 32214 48321 64428 96642 193284 711019 1422038 2133057 2844076 4266114 4977133 6399171 8532228 9243247 9954266 12798342 14931399 18486494 19908532 25596684 27729741 29862798 36972988 41950121 44794197 55459482 59725596 64702729 83189223 83900242 89588394 110918964 125850363 129405458 166378446 167800484 179176788 194108187 251700726 258810916 293650847 332756892 377551089 388216374 503401452 545351573 582324561 587301694 755102178 776432748 880952541 1090703146 1164649122 1174603388 1510204356 1636054719 1761905082 2181406292 2329298244 2642857623 3272109438 3523810164 3817461011 4908164157 5285715246 6544218876 7634922022 9816328314 10571430492 11452383033 15269844044 19632656628 22904766066 34357149099 45809532132 68714298198 137428596396