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83970526419 = 331323371971427
BaseRepresentation
bin100111000110100001…
…0001000110011010011
322000202001100201022000
41032031002020303103
52333432423321134
6102324151445043
76031603461243
oct1161502106323
9260661321260
1083970526419
113268019a37a
1214335686783
137bc2907030
1440c8219b23
1522b6d70e99
hex138d088cd3

83970526419 has 128 divisors (see below), whose sum is σ = 144403015680. Its totient is φ = 47813939712.

The previous prime is 83970526361. The next prime is 83970526457. The reversal of 83970526419 is 91462507938.

83970526419 is a `hidden beast` number, since 8 + 3 + 9 + 70 + 526 + 41 + 9 = 666.

It is not a de Polignac number, because 83970526419 - 29 = 83970525907 is a prime.

It is a super-2 number, since 2×839705264192 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83970526469) 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, 58843384 + ... + 58844810.

It is an arithmetic number, because the mean of its divisors is an integer number (1128148560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅83970526419 = 167941052838, but 3⋅83970526419 = 251911579257 is not.

Almost surely, 283970526419 is an apocalyptic number.

83970526419 is a deficient number, since it is larger than the sum of its proper divisors (60432489261).

83970526419 is a wasteful number, since it uses less digits than its factorization.

With its successor (83970526420) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1706).

83970526419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 83970526419 in words is "eighty-three billion, nine hundred seventy million, five hundred twenty-six thousand, four hundred nineteen".

Divisors: 1 3 9 13 23 27 37 39 69 111 117 197 207 299 333 351 481 591 621 851 897 999 1427 1443 1773 2553 2561 2691 4281 4329 4531 5319 7289 7659 7683 8073 11063 12843 12987 13593 18551 21867 22977 23049 32821 33189 38529 40779 52799 55653 58903 65601 69147 94757 98463 99567 122337 158397 166959 167647 176709 196803 281119 284271 295389 298701 426673 475191 500877 502941 530127 686387 843357 852813 886167 1214377 1280019 1425573 1508823 1590381 2059161 2179411 2530071 2558439 3643131 3654547 3840057 4526469 6177483 6465737 6538233 7590213 10401403 10929393 10963641 11520171 15786901 18532449 19397211 19614699 31204209 32788179 32890923 47360703 58191633 58844097 84054581 93612627 98672769 135218239 142082109 174574899 239232269 252163743 280837881 405654717 426246327 717696807 756491229 1216964151 2153090421 2269473687 3110019497 3650892453 6459271263 9330058491 27990175473 83970526419