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26675142464440 = 23517416411492643
BaseRepresentation
bin1100001000010110010100…
…11001000001001110111000
310111110010012112122210221201
412010023022121001032320
511444021142432330230
6132422220303143544
75422133616551341
oct604131231011670
9114403175583851
1026675142464440
118554956557768
122ba99a32a4bb4
1311b65bbc38232
14683125c910c8
15313d359955ca
hex1842ca6413b8

26675142464440 has 128 divisors (see below), whose sum is σ = 65201197561920. Its totient is φ = 9782178611200.

The previous prime is 26675142464429. The next prime is 26675142464449. The reversal of 26675142464440 is 4446424157662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26675142464449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17124759 + ... + 18617401.

Almost surely, 226675142464440 is an apocalyptic number.

26675142464440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26675142464440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32600598780960).

26675142464440 is an abundant number, since it is smaller than the sum of its proper divisors (38526055097480).

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

26675142464440 is a wasteful number, since it uses less digits than its factorization.

26675142464440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493353 (or 1493349 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 55.

The spelling of 26675142464440 in words is "twenty-six trillion, six hundred seventy-five billion, one hundred forty-two million, four hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 641 680 697 820 1282 1394 1640 2564 2788 3205 3485 5128 5576 6410 6970 10897 12820 13940 21794 25640 26281 27880 43588 52562 54485 87176 105124 108970 131405 210248 217940 262810 435880 446777 525620 893554 1051240 1492643 1787108 2233885 2985286 3574216 4467770 5970572 7463215 8935540 11941144 14926430 17871080 25374931 29852860 50749862 59705720 61198363 101499724 122396726 126874655 202999448 244793452 253749310 305991815 489586904 507498620 611983630 956784163 1014997240 1040372171 1223967260 1913568326 2080744342 2447934520 3827136652 4161488684 4783920815 5201860855 7654273304 8322977368 9567841630 10403721710 16265330771 19135683260 20807443420 32530661542 38271366520 39228150683 41614886840 65061323084 78456301366 81326653855 130122646168 156912602732 162653307710 196140753415 313825205464 325306615420 392281506830 650613230840 666878561611 784563013660 1333757123222 1569126027320 2667514246444 3334392808055 5335028492888 6668785616110 13337571232220 26675142464440