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28154152444032 = 27339619846913
BaseRepresentation
bin1100110011011001001100…
…10000010110000010000000
310200200111210021212102202000
412121230212100112002000
512142234201011202112
6135513501124024000
75634033100135206
oct631544620260200
9120614707772660
1028154152444032
118a7512209404a
1231a8568832000
131292c04822204
146d494d965076
1533c54a2147dc
hex199b26416080

28154152444032 has 128 divisors (see below), whose sum is σ = 83102589336000. Its totient is φ = 9383730757632.

The previous prime is 28154152444021. The next prime is 28154152444081. The reversal of 28154152444032 is 23044425145182.

28154152444032 is a `hidden beast` number, since 2 + 8 + 1 + 54 + 1 + 524 + 4 + 40 + 32 = 666.

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

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, 32819808 + ... + 33666720.

Almost surely, 228154152444032 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 28154152444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41551294668000).

28154152444032 is an abundant number, since it is smaller than the sum of its proper divisors (54948436891968).

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

28154152444032 is an equidigital number, since it uses as much as digits as its factorization.

28154152444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856555 (or 856537 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 28154152444032 in words is "twenty-eight trillion, one hundred fifty-four billion, one hundred fifty-two million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 9619 19238 28857 38476 57714 76952 86571 115428 153904 173142 230856 259713 307808 346284 461712 519426 615616 692568 846913 923424 1038852 1231232 1385136 1693826 1846848 2077704 2540739 2770272 3387652 3693696 4155408 5081478 5540544 6775304 7622217 8310816 10162956 11081088 13550608 15244434 16621632 20325912 22866651 27101216 30488868 33243264 40651824 45733302 54202432 60977736 81303648 91466604 108404864 121955472 162607296 182933208 243910944 325214592 365866416 487821888 731732832 975643776 1463465664 2926931328 8146456147 16292912294 24439368441 32585824588 48878736882 65171649176 73318105323 97757473764 130343298352 146636210646 195514947528 219954315969 260686596704 293272421292 391029895056 439908631938 521373193408 586544842584 782059790112 879817263876 1042746386816 1173089685168 1564119580224 1759634527752 2346179370336 3128239160448 3519269055504 4692358740672 7038538111008 9384717481344 14077076222016 28154152444032