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2098015778145 = 3571971992831801
BaseRepresentation
bin11110100001111011011…
…111000011010101100001
321102120100022211021112110
4132201323133003111201
5233333214014400040
64243452023145533
7304401533605140
oct36417337032541
97376308737473
102098015778145
11739844236711
1229a7392a52a9
13122ac3c62331
147378a1a1757
1539892e1e980
hex1e87b7c3561

2098015778145 has 128 divisors (see below), whose sum is σ = 3891074457600. Its totient is φ = 945549158400.

The previous prime is 2098015778057. The next prime is 2098015778219. The reversal of 2098015778145 is 5418775108902.

It is a happy number.

It is not a de Polignac number, because 2098015778145 - 217 = 2098015647073 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1164916245 + ... + 1164918045.

It is an arithmetic number, because the mean of its divisors is an integer number (30399019200).

Almost surely, 22098015778145 is an apocalyptic number.

2098015778145 is the 1182657-th pentagonal number and also the 836265-th octagonal number.

It is an amenable number.

2098015778145 is a deficient number, since it is larger than the sum of its proper divisors (1793058679455).

2098015778145 is a wasteful number, since it uses less digits than its factorization.

2098015778145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495.

The product of its (nonzero) digits is 5644800, while the sum is 57.

The spelling of 2098015778145 in words is "two trillion, ninety-eight billion, fifteen million, seven hundred seventy-eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 197 199 283 591 597 849 985 995 1379 1393 1415 1801 1981 2955 2985 4137 4179 4245 5403 5943 6895 6965 9005 9905 12607 20685 20895 27015 29715 37821 39203 55751 56317 63035 117609 167253 168951 189105 196015 274421 278755 281585 354797 358399 390257 394219 509683 588045 823263 836265 844755 1064391 1075197 1170771 1182657 1372105 1529049 1773985 1791995 1951285 1971095 2483579 2508793 2548415 3567781 4116315 5321955 5375985 5853855 5913285 7450737 7526379 7645245 10703343 11094449 12417895 12543965 17838905 33283347 37253685 37631895 53516715 55472245 70604603 77661143 100407551 101426917 166416735 211813809 232983429 301222653 304280751 353023015 388305715 494232221 502037755 507134585 702852857 709988419 1059069045 1164917145 1482696663 1506113265 1521403755 2108558571 2129965257 2471161105 3514264285 3549942095 7413483315 10542792855 10649826285 19981102649 59943307947 99905513245 139867718543 299716539735 419603155629 699338592715 2098015778145