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157337577072 = 243213313318191
BaseRepresentation
bin1001001010001000001…
…1001110011001110000
3120001010010102001100100
42102202003032121300
510034211404431242
6200140242152400
714236654224144
oct2224203163160
9501103361310
10157337577072
11607a9a62435
12265b0052700
1311ab57abc40
1478880a3224
15415cd7b54c
hex24a20ce670

157337577072 has 240 divisors, whose sum is σ = 491033460736. Its totient is φ = 46702656000.

The previous prime is 157337576969. The next prime is 157337577077. The reversal of 157337577072 is 270775733751.

It is a super-2 number, since 2×1573375770722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157337577077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19204497 + ... + 19212687.

Almost surely, 2157337577072 is an apocalyptic number.

157337577072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157337577072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245516730368).

157337577072 is an abundant number, since it is smaller than the sum of its proper divisors (333695883664).

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

157337577072 is a wasteful number, since it uses less digits than its factorization.

157337577072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8580 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 7563150, while the sum is 54.

The spelling of 157337577072 in words is "one hundred fifty-seven billion, three hundred thirty-seven million, five hundred seventy-seven thousand, seventy-two".