Search a number
-
+
2469314759870 = 257193019614981
BaseRepresentation
bin100011111011101110101…
…000010000110010111110
322202001201210100212002102
4203323232220100302332
5310424124034303440
65130215413025102
7343254631100060
oct43735650206276
98661653325072
102469314759870
118722598971a2
1233a6a0625192
1314bb17377c0a
1487730653730
1544374c7cb15
hex23eeea10cbe

2469314759870 has 64 divisors (see below), whose sum is σ = 5348867443200. Its totient is φ = 801796164480.

The previous prime is 2469314759843. The next prime is 2469314759887. The reversal of 2469314759870 is 789574139642.

It is a junction number, because it is equal to n+sod(n) for n = 2469314759797 and 2469314759806.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3707780 + ... + 4322760.

It is an arithmetic number, because the mean of its divisors is an integer number (83576053800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2469314759870 = 4938629519740, but 3⋅2469314759870 = 7407944279610 is not.

Almost surely, 22469314759870 is an apocalyptic number.

2469314759870 is an abundant number, since it is smaller than the sum of its proper divisors (2879552683330).

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

2469314759870 is a wasteful number, since it uses less digits than its factorization.

2469314759870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618033.

The product of its (nonzero) digits is 91445760, while the sum is 65.

The spelling of 2469314759870 in words is "two trillion, four hundred sixty-nine billion, three hundred fourteen million, seven hundred fifty-nine thousand, eight hundred seventy".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1330 3019 6038 15095 21133 30190 42266 57361 105665 114722 211330 286805 401527 573610 614981 803054 1229962 2007635 3074905 4015270 4304867 6149810 8609734 11684639 21524335 23369278 43048670 58423195 81792473 116846390 163584946 408962365 817924730 1856627639 3713255278 9283138195 12996393473 18566276390 25992786946 35275925141 64981967365 70551850282 129963934730 176379625705 246931475987 352759251410 493862951974 1234657379935 2469314759870