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153548010740 = 225148317872897
BaseRepresentation
bin1000111100000000101…
…1001011010011110100
3112200100000200010121202
42033000023023103310
510003431242320430
6154312230432032
714044030361615
oct2170013132364
9480300603552
10153548010740
115a134938133
1225912b02618
13116306588b7
147608a89c0c
153eda321d45
hex23c02cb4f4

153548010740 has 48 divisors (see below), whose sum is σ = 322960260672. Its totient is φ = 61322267136.

The previous prime is 153548010713. The next prime is 153548010761. The reversal of 153548010740 is 47010845351.

It is a super-2 number, since 2×1535480107402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153548010694 and 153548010703.

It is a congruent number.

It is an unprimeable number.

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, 53000972 + ... + 53003868.

It is an arithmetic number, because the mean of its divisors is an integer number (6728338764).

Almost surely, 2153548010740 is an apocalyptic number.

153548010740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153548010740 is an abundant number, since it is smaller than the sum of its proper divisors (169412249932).

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

153548010740 is a wasteful number, since it uses less digits than its factorization.

153548010740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 153548010740 in words is "one hundred fifty-three billion, five hundred forty-eight million, ten thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 1483 1787 2897 2966 3574 5794 5932 7148 7415 8935 11588 14485 14830 17870 28970 29660 35740 57940 2650121 4296251 5176939 5300242 8592502 10353878 10600484 13250605 17185004 20707756 21481255 25884695 26501210 42962510 51769390 53002420 85925020 103538780 7677400537 15354801074 30709602148 38387002685 76774005370 153548010740