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10154471742 = 233296484337
BaseRepresentation
bin10010111010100000…
…01111000100111110
3222012200102121112000
421131100033010332
5131244021043432
64355341323130
7506431404612
oct113520170476
928180377460
1010154471742
114340a30a08
121b748664a6
13c5a9c387c
146c4893342
153e672257c
hex25d40f13e

10154471742 has 32 divisors (see below), whose sum is σ = 23343616800. Its totient is φ = 3268105344.

The previous prime is 10154471737. The next prime is 10154471749. The reversal of 10154471742 is 24717445101.

10154471742 is a `hidden beast` number, since 1 + 0 + 1 + 544 + 71 + 7 + 42 = 666.

10154471742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101544717422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10154471697 and 10154471706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10154471749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3240603 + ... + 3243734.

It is an arithmetic number, because the mean of its divisors is an integer number (729488025).

Almost surely, 210154471742 is an apocalyptic number.

10154471742 is an abundant number, since it is smaller than the sum of its proper divisors (13189145058).

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

10154471742 is a wasteful number, since it uses less digits than its factorization.

10154471742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484377 (or 6484371 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 10154471742 in words is "ten billion, one hundred fifty-four million, four hundred seventy-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 6484337 12968674 19453011 38906022 58359033 116718066 175077099 188045773 350154198 376091546 564137319 1128274638 1692411957 3384823914 5077235871 10154471742