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26383418464 = 25131715592393
BaseRepresentation
bin11000100100100100…
…110000010001100000
32112002201001112011211
4120210210300101200
5413013123342324
620042000115504
71622543233234
oct304444602140
975081045154
1026383418464
111020982a877
125143905b94
13264602a820
1413c3dc05c4
15a4638e294
hex624930460

26383418464 has 96 divisors (see below), whose sum is σ = 59291144640. Its totient is φ = 11448532992.

The previous prime is 26383418437. The next prime is 26383418491. The reversal of 26383418464 is 46481438362.

It is an interprime number because it is at equal distance from previous prime (26383418437) and next prime (26383418491).

It is a super-2 number, since 2×263834184642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11024052 + ... + 11026444.

It is an arithmetic number, because the mean of its divisors is an integer number (617616090).

Almost surely, 226383418464 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 26383418464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29645572320).

26383418464 is an abundant number, since it is smaller than the sum of its proper divisors (32907726176).

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

26383418464 is a wasteful number, since it uses less digits than its factorization.

26383418464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3984 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 49.

The spelling of 26383418464 in words is "twenty-six billion, three hundred eighty-three million, four hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1559 1768 2393 3118 3536 4786 6236 7072 9572 12472 19144 20267 24944 26503 31109 38288 40534 40681 49888 53006 62218 76576 81068 81362 106012 124436 162136 162724 212024 248872 324272 325448 344539 424048 497744 528853 648544 650896 689078 848096 995488 1057706 1301792 1378156 2115412 2756312 3730687 4230824 5512624 7461374 8461648 11025248 14922748 16923296 29845496 48498931 59690992 63421679 96997862 119381984 126843358 193995724 253686716 387991448 507373432 775982896 824481827 1014746864 1551965792 1648963654 2029493728 3297927308 6595854616 13191709232 26383418464