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2088064407 = 3111323431491
BaseRepresentation
bin111110001110101…
…0101010110010111
312101112001122212210
41330131111112113
513234021030112
6543110244503
7102513153222
oct17435252627
95345048783
102088064407
11981726770
124a3356733
1327379c290
1415b4605b9
15c34aab3c
hex7c755597

2088064407 has 64 divisors (see below), whose sum is σ = 3427909632. Its totient is φ = 1112496000.

The previous prime is 2088064399. The next prime is 2088064411. The reversal of 2088064407 is 7044608802.

It is not a de Polignac number, because 2088064407 - 23 = 2088064399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088064007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4252432 + ... + 4252922.

It is an arithmetic number, because the mean of its divisors is an integer number (53561088).

Almost surely, 22088064407 is an apocalyptic number.

2088064407 is a deficient number, since it is larger than the sum of its proper divisors (1339845225).

2088064407 is a wasteful number, since it uses less digits than its factorization.

2088064407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972.

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2088064407 is about 45695.3433842005. The cubic root of 2088064407 is about 1278.1484474446.

The spelling of 2088064407 in words is "two billion, eighty-eight million, sixty-four thousand, four hundred seven".

Divisors: 1 3 11 13 23 33 39 69 143 253 299 429 431 491 759 897 1293 1473 3289 4741 5401 5603 6383 9867 9913 11293 14223 16203 16809 19149 29739 33879 61633 70213 109043 124223 128869 146809 184899 210639 211621 327129 372669 386607 440427 634863 1417559 1614899 2327831 2751073 4252677 4844697 4867283 6983493 8253219 14601849 30261803 53540113 63274679 90785409 160620339 189824037 696021469 2088064407