Search a number
-
+
26226983040 = 273536733719
BaseRepresentation
bin11000011011010000…
…000000000010000000
32111200210200210010020
4120123100000002000
5412203101424130
620014251133440
71615633451256
oct303320000200
974623623106
1026226983040
11101394a25a5
1250bb444280
13261c7b769b
1413ab2dc5d6
15a3778ce10
hex61b400080

26226983040 has 128 divisors (see below), whose sum is σ = 83643753600. Its totient is φ = 6990077952.

The previous prime is 26226983039. The next prime is 26226983059. The reversal of 26226983040 is 4038962262.

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

It is a junction number, because it is equal to n+sod(n) for n = 26226982983 and 26226983001.

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, 7050301 + ... + 7054019.

It is an arithmetic number, because the mean of its divisors is an integer number (653466825).

Almost surely, 226226983040 is an apocalyptic number.

26226983040 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 26226983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41821876800).

26226983040 is an abundant number, since it is smaller than the sum of its proper divisors (57416770560).

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

26226983040 is a wasteful number, since it uses less digits than its factorization.

26226983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7414 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 26226983040 in words is "twenty-six billion, two hundred twenty-six million, nine hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3673 3719 7346 7438 11019 11157 14692 14876 18365 18595 22038 22314 29384 29752 36730 37190 44076 44628 55095 55785 58768 59504 73460 74380 88152 89256 110190 111570 117536 119008 146920 148760 176304 178512 220380 223140 235072 238016 293840 297520 352608 357024 440760 446280 470144 476032 587680 595040 705216 714048 881520 892560 1175360 1190080 1410432 1428096 1763040 1785120 2350720 2380160 3526080 3570240 7052160 7140480 13659887 27319774 40979661 54639548 68299435 81959322 109279096 136598870 163918644 204898305 218558192 273197740 327837288 409796610 437116384 546395480 655674576 819593220 874232768 1092790960 1311349152 1639186440 1748465536 2185581920 2622698304 3278372880 4371163840 5245396608 6556745760 8742327680 13113491520 26226983040