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145355026656 = 2537216302123
BaseRepresentation
bin1000011101011111010…
…1011011000011100000
3111220012001010102022210
42013113311123003200
54340141341323111
6150435234402120
713334014224630
oct2072765330340
9456161112283
10145355026656
1156710139a04
1224207130340
1310926146a18
14706c9086c0
153baae060a6
hex21d7d5b0e0

145355026656 has 48 divisors (see below), whose sum is σ = 436065081984. Its totient is φ = 41530007424.

The previous prime is 145355026633. The next prime is 145355026693. The reversal of 145355026656 is 656620553541.

145355026656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1453550266562 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108150390 + ... + 108151733.

It is an arithmetic number, because the mean of its divisors is an integer number (9084689208).

Almost surely, 2145355026656 is an apocalyptic number.

145355026656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145355026656 is an abundant number, since it is smaller than the sum of its proper divisors (290710055328).

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

145355026656 is a wasteful number, since it uses less digits than its factorization.

145355026656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216302143 (or 216302135 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 145355026656 in words is "one hundred forty-five billion, three hundred fifty-five million, twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 216302123 432604246 648906369 865208492 1297812738 1514114861 1730416984 2595625476 3028229722 3460833968 4542344583 5191250952 6056459444 6921667936 9084689166 10382501904 12112918888 18169378332 20765003808 24225837776 36338756664 48451675552 72677513328 145355026656