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1026236906064 = 243219009374909
BaseRepresentation
bin11101110111100000111…
…11000111101001010000
310122002220012210100102200
432323300133013221100
5113303213121443224
62103240254243200
7134100051526356
oct16736037075120
93562805710380
101026236906064
11366251a85837
12146a847b6500
1375a09b48a26
1437954ba97d6
151ba64d145c9
hexeef07c7a50

1026236906064 has 60 divisors (see below), whose sum is σ = 2872196757300. Its totient is φ = 342060060672.

The previous prime is 1026236906047. The next prime is 1026236906077. The reversal of 1026236906064 is 4606096326201.

1026236906064 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 2 + 36 + 9 + 0 + 606 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 941660633664 + 84576272400 = 970392^2 + 290820^2 .

It is a super-2 number, since 2×10262369060642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2549842 + ... + 2924750.

It is an arithmetic number, because the mean of its divisors is an integer number (47869945955).

Almost surely, 21026236906064 is an apocalyptic number.

It is an amenable number.

1026236906064 is an abundant number, since it is smaller than the sum of its proper divisors (1845959851236).

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

1026236906064 is a wasteful number, since it uses less digits than its factorization.

1026236906064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393932 (or 393923 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1026236906064 in words is "one trillion, twenty-six billion, two hundred thirty-six million, nine hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 19009 38018 57027 76036 114054 152072 171081 228108 304144 342162 374909 456216 684324 749818 912432 1124727 1368648 1499636 2249454 2737296 2999272 3374181 4498908 5998544 6748362 8997816 13496724 17995632 26993448 53986896 7126645181 14253290362 21379935543 28506580724 42759871086 57013161448 64139806629 85519742172 114026322896 128279613258 171039484344 256559226516 342078968688 513118453032 1026236906064