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26072145720 = 23325711020037
BaseRepresentation
bin11000010010000001…
…010101111100111000
32111022000100020020200
4120102001111330320
5411343432130340
615551040322200
71612043403435
oct302201257470
974260306220
1026072145720
111006a056a75
125077613360
1325c66b3a7a
141394914b8c
15a28da5330
hex612055f38

26072145720 has 96 divisors (see below), whose sum is σ = 85928001120. Its totient is φ = 6854641920.

The previous prime is 26072145709. The next prime is 26072145731. The reversal of 26072145720 is 2754127062.

It is a happy number.

26072145720 is a `hidden beast` number, since 2 + 6 + 0 + 72 + 14 + 572 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26072145709) and next prime (26072145731).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484459 + ... + 535578.

It is an arithmetic number, because the mean of its divisors is an integer number (895083345).

Almost surely, 226072145720 is an apocalyptic number.

26072145720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26072145720 is an abundant number, since it is smaller than the sum of its proper divisors (59855855400).

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

26072145720 is a wasteful number, since it uses less digits than its factorization.

26072145720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020125 (or 1020118 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 26072145720 in words is "twenty-six billion, seventy-two million, one hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 1020037 2040074 3060111 4080148 5100185 6120222 8160296 9180333 10200370 12240444 15300555 18360666 20400740 24480888 30601110 36721332 40801480 45901665 61202220 72422627 73442664 91803330 122404440 144845254 183606660 217267881 289690508 362113135 367213320 434535762 579381016 651803643 724226270 869071524 1086339405 1303607286 1448452540 1738143048 2172678810 2607214572 2896905080 3259018215 4345357620 5214429144 6518036430 8690715240 13036072860 26072145720