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26608142464 = 271516432141
BaseRepresentation
bin11000110001111110…
…000000100010000000
32112200100220200112221
4120301332000202000
5413443141024324
620120144500424
71631242323241
oct306176004200
975610820487
1026608142464
111031466a292
1251a701a714
1326807604c7
141405b9acc8
15a5ae7e0e4
hex631f80880

26608142464 has 64 divisors (see below), whose sum is σ = 53467404480. Its totient is φ = 13189248000.

The previous prime is 26608142443. The next prime is 26608142471. The reversal of 26608142464 is 46424180662.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 26608142464.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12426834 + ... + 12428974.

It is an arithmetic number, because the mean of its divisors is an integer number (835428195).

Almost surely, 226608142464 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 26608142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26733702240).

26608142464 is an abundant number, since it is smaller than the sum of its proper divisors (26859262016).

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

26608142464 is a wasteful number, since it uses less digits than its factorization.

26608142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 26608142464 in words is "twenty-six billion, six hundred eight million, one hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 151 302 604 643 1208 1286 2141 2416 2572 4282 4832 5144 8564 9664 10288 17128 19328 20576 34256 41152 68512 82304 97093 137024 194186 274048 323291 388372 646582 776744 1293164 1376663 1553488 2586328 2753326 3106976 5172656 5506652 6213952 10345312 11013304 12427904 20690624 22026608 41381248 44053216 88106432 176212864 207876113 415752226 831504452 1663008904 3326017808 6652035616 13304071232 26608142464