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154034435456 = 2711109399457
BaseRepresentation
bin1000111101110100101…
…0101111010110000000
3112201120220222001212222
42033131022233112000
510010430303413311
6154432404310212
714062055045516
oct2173512572600
9481526861788
10154034435456
115a364472230
1225a299a2368
13116aa369985
14765350a4b6
154017da7adb
hex23dd2af580

154034435456 has 32 divisors (see below), whose sum is σ = 334762341480. Its totient is φ = 70015651840.

The previous prime is 154034435447. The next prime is 154034435473. The reversal of 154034435456 is 654534430451.

154034435456 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 (32).

It is a Harshad number since it is a multiple of its sum of digits (44).

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 3 ways as a sum of consecutive naturals, for example, 54698321 + ... + 54701136.

Almost surely, 2154034435456 is an apocalyptic number.

154034435456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

154034435456 is an abundant number, since it is smaller than the sum of its proper divisors (180727906024).

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

154034435456 is a wasteful number, since it uses less digits than its factorization.

154034435456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109399482 (or 109399470 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 154034435456 in words is "one hundred fifty-four billion, thirty-four million, four hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 109399457 218798914 437597828 875195656 1203394027 1750391312 2406788054 3500782624 4813576108 7001565248 9627152216 14003130496 19254304432 38508608864 77017217728 154034435456