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1961428260099 = 3711171939236701
BaseRepresentation
bin11100100010101110001…
…111000001010100000011
320221111210022022102222210
4130202232033001110003
5224114001113310344
64101022342433203
7261465010060620
oct34425617012403
96844708272883
101961428260099
116969231337a0
1227817a432803
13112c67376639
146ad0dc6d347
153604babddb9
hex1c8ae3c1503

1961428260099 has 128 divisors (see below), whose sum is σ = 3635525099520. Its totient is φ = 908146944000.

The previous prime is 1961428260049. The next prime is 1961428260119. The reversal of 1961428260099 is 9900628241691.

It is a Cunningham number, because it is equal to 14005102-1.

It is not a de Polignac number, because 1961428260099 - 213 = 1961428251907 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1961428260049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292703449 + ... + 292710149.

It is an arithmetic number, because the mean of its divisors is an integer number (28402539840).

Almost surely, 21961428260099 is an apocalyptic number.

1961428260099 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1961428260099 is a deficient number, since it is larger than the sum of its proper divisors (1674096839421).

1961428260099 is a wasteful number, since it uses less digits than its factorization.

1961428260099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10681.

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 1961428260099 in words is "one trillion, nine hundred sixty-one billion, four hundred twenty-eight million, two hundred sixty thousand, ninety-nine".

Divisors: 1 3 7 11 17 19 21 33 51 57 77 119 133 187 209 231 323 357 399 561 627 969 1309 1463 2261 3553 3923 3927 4389 6701 6783 10659 11769 20103 24871 27461 43153 46907 66691 73711 74537 74613 82383 113917 127319 129459 140721 200073 221133 223611 302071 341751 381957 466837 515977 521759 733601 797419 819907 891233 906213 1253087 1267129 1400509 1400511 1547931 1565277 2164423 2200803 2392257 2459721 2673699 3759261 3801387 4201527 5135207 5739349 6493269 8771609 8869903 9803563 13938419 15150961 15405621 17218047 23808653 26288023 26314827 26609709 29410689 41815257 45452883 71425959 78864069 97568933 166660571 184016161 289168253 292706799 446896391 499472437 499981713 552048483 867504759 1340689173 1498417311 2024177771 3128274737 3496307059 4915860301 5494196807 6072533313 8491031429 9384824211 10488921177 14747580903 16482590421 25473094287 34411022107 38459377649 59437220003 93401345719 103233066321 115378132947 178311660009 280204037157 653809420033 1961428260099