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1428725355849 = 3211229212492
BaseRepresentation
bin10100110010100110101…
…010101101010101001001
312001120210022211001210100
4110302212222231111021
5141402012142341344
63012203010440013
7205136101102131
oct24624652552511
95046708731710
101428725355849
11500a12242300
121b0a91293009
13a4960ba115c
144d217653ac1
152726ee06569
hex14ca6aad549

1428725355849 has 81 divisors (see below), whose sum is σ = 2351179994709. Its totient is φ = 835366371840.

The previous prime is 1428725355839. The next prime is 1428725355857. The reversal of 1428725355849 is 9485535278241.

It is a happy number.

The square root of 1428725355849 is 1195293.

It is a perfect power (a square), and thus also a powerful number.

1428725355849 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 7 + 2 + 535 + 58 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6382891449 + 1422342464400 = 79893^2 + 1192620^2 .

It is not a de Polignac number, because 1428725355849 - 223 = 1428716967241 is a prime.

It is a super-2 number, since 2×14287253558492 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1428725355839) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1143894777 + ... + 1143896025.

Almost surely, 21428725355849 is an apocalyptic number.

1428725355849 is the 1195293-rd square number.

1428725355849 is the 597647-th centered octagonal number.

It is an amenable number.

1428725355849 is a deficient number, since it is larger than the sum of its proper divisors (922454638860).

1428725355849 is an equidigital number, since it uses as much as digits as its factorization.

1428725355849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 1292 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

The spelling of 1428725355849 in words is "one trillion, four hundred twenty-eight billion, seven hundred twenty-five million, three hundred fifty-five thousand, eight hundred forty-nine".

Divisors: 1 3 9 11 29 33 87 99 121 261 319 363 841 957 1089 1249 2523 2871 3509 3747 7569 9251 10527 11241 13739 27753 31581 36221 41217 83259 101761 108663 123651 151129 305283 325989 398431 453387 915849 1050409 1195293 1360161 1560001 3151227 3585879 4382741 4680003 9453681 11554499 13148223 14040009 17160011 34663497 39444669 45240029 51480033 103990491 127099489 135720087 154440099 188760121 381298467 407160261 497640319 566280363 1143895401 1311960841 1492920957 1698841089 3935882523 4478762871 5474043509 11807647569 14431569251 16422130527 43294707753 49266391581 129884123259 158747261761 476241785283 1428725355849