Search a number
-
+
26921405568 = 273419111877
BaseRepresentation
bin11001000100101001…
…000000110010000000
32120111012101002202010
4121010221000302000
5420113334434233
620211215052520
71642065112611
oct310451006200
976435332663
1026921405568
1110465482512
125273b11140
1327006231a5
141435623c08
15a7870cb63
hex644a40c80

26921405568 has 128 divisors (see below), whose sum is σ = 73373610240. Its totient is φ = 8740659200.

The previous prime is 26921405549. The next prime is 26921405573. The reversal of 26921405568 is 86550412962.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14341846 + ... + 14343722.

It is an arithmetic number, because the mean of its divisors is an integer number (573231330).

Almost surely, 226921405568 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 26921405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36686805120).

26921405568 is an abundant number, since it is smaller than the sum of its proper divisors (46452204672).

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

26921405568 is a wasteful number, since it uses less digits than its factorization.

26921405568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 26921405568 in words is "twenty-six billion, nine hundred twenty-one million, four hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 911 984 1312 1822 1877 1968 2624 2733 3644 3754 3936 5248 5466 5631 7288 7508 7872 10932 11262 14576 15016 15744 21864 22524 29152 30032 37351 43728 45048 58304 60064 74702 76957 87456 90096 112053 116608 120128 149404 153914 174912 180192 224106 230871 240256 298808 307828 349824 360384 448212 461742 597616 615656 720768 896424 923484 1195232 1231312 1709947 1792848 1846968 2390464 2462624 3419894 3585696 3693936 4780928 4925248 5129841 6839788 7171392 7387872 9850496 10259682 13679576 14342784 14775744 20519364 27359152 29551488 41038728 54718304 70107827 82077456 109436608 140215654 164154912 210323481 218873216 280431308 328309824 420646962 560862616 656619648 841293924 1121725232 1682587848 2243450464 3365175696 4486900928 6730351392 8973801856 13460702784 26921405568