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10449252128 = 257411137767
BaseRepresentation
bin10011011101101001…
…01110111100100000
3222222020010000012002
421232310232330200
5132400002032003
64444511423132
7516641114630
oct115664567440
928866100162
1010449252128
11448236a867
122037524aa8
13ca6ab4933
14711aa86c0
1541254ea88
hex26ed2ef20

10449252128 has 48 divisors (see below), whose sum is σ = 24084273024. Its totient is φ = 4369021440.

The previous prime is 10449252127. The next prime is 10449252139. The reversal of 10449252128 is 82125294401.

It is a junction number, because it is equal to n+sod(n) for n = 10449252091 and 10449252100.

It is not an unprimeable number, because it can be changed into a prime (10449252127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559700 + ... + 578067.

It is an arithmetic number, because the mean of its divisors is an integer number (501755688).

Almost surely, 210449252128 is an apocalyptic number.

It is an amenable number.

10449252128 is an abundant number, since it is smaller than the sum of its proper divisors (13635020896).

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

10449252128 is a wasteful number, since it uses less digits than its factorization.

10449252128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137825 (or 1137817 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 10449252128 in words is "ten billion, four hundred forty-nine million, two hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 1137767 2275534 4551068 7964369 9102136 15928738 18204272 31857476 36408544 46648447 63714952 93296894 127429904 186593788 254859808 326539129 373187576 653078258 746375152 1306156516 1492750304 2612313032 5224626064 10449252128