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26072973312 = 2173611087
BaseRepresentation
bin11000010010000100…
…100000000000000000
32111022001220021111020
4120102010200000000
5411344140121222
615551110145440
71612053421311
oct302204400000
974261807436
1026072973312
111006a571831
125077952280
1325c6913679
141394a8c608
15a28eba65c
hex612120000

26072973312 has 144 divisors (see below), whose sum is σ = 70732472832. Its totient is φ = 8540651520.

The previous prime is 26072973293. The next prime is 26072973319. The reversal of 26072973312 is 21337927062.

It is not an unprimeable number, because it can be changed into a prime (26072973319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23985633 + ... + 23986719.

It is an arithmetic number, because the mean of its divisors is an integer number (491197728).

Almost surely, 226072973312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26072973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35366236416).

26072973312 is an abundant number, since it is smaller than the sum of its proper divisors (44659499520).

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

26072973312 is an frugal number, since it uses more digits than its factorization.

26072973312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 26072973312 in words is "twenty-six billion, seventy-two million, nine hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1087 1464 1536 1952 2048 2174 2928 3072 3261 3904 4096 4348 5856 6144 6522 7808 8192 8696 11712 12288 13044 15616 16384 17392 23424 24576 26088 31232 32768 34784 46848 49152 52176 62464 65536 66307 69568 93696 98304 104352 124928 131072 132614 139136 187392 196608 198921 208704 249856 265228 278272 374784 393216 397842 417408 499712 530456 556544 749568 795684 834816 999424 1060912 1113088 1499136 1591368 1669632 1998848 2121824 2226176 2998272 3182736 3339264 3997696 4243648 4452352 5996544 6365472 6678528 7995392 8487296 8904704 11993088 12730944 13357056 16974592 17809408 23986176 25461888 26714112 33949184 35618816 50923776 53428224 67898368 71237632 101847552 106856448 135796736 142475264 203695104 213712896 271593472 407390208 427425792 543186944 814780416 1086373888 1629560832 2172747776 3259121664 4345495552 6518243328 8690991104 13036486656 26072973312