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153532100000 = 25551790313
BaseRepresentation
bin1000111011111100111…
…0011110110110100000
3112200021220201210012002
42032333032132312200
510003413204200000
6154310501423132
714043445213616
oct2167716366640
9480256653162
10153532100000
115a126960164
122590970aaa8
131162a277866
1476069076b6
153ed8c2c8d5
hex23bf39eda0

153532100000 has 144 divisors (see below), whose sum is σ = 400037192856. Its totient is φ = 57799680000.

The previous prime is 153532099943. The next prime is 153532100003. The reversal of 153532100000 is 1235351.

It can be written as a sum of positive squares in 12 ways, for example, as 107319139216 + 46212960784 = 327596^2 + 214972^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (153532100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1654844 + ... + 1745156.

Almost surely, 2153532100000 is an apocalyptic number.

153532100000 is a gapful number since it is divisible by the number (10) 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 153532100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200018596428).

153532100000 is an abundant number, since it is smaller than the sum of its proper divisors (246505092856).

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

153532100000 is an frugal number, since it uses more digits than its factorization.

153532100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90365 (or 90337 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 153532100000 its reverse (1235351), we get a palindrome (153533335351).

The spelling of 153532100000 in words is "one hundred fifty-three billion, five hundred thirty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3125 3400 4000 4250 5000 6250 6800 8500 10000 10625 12500 13600 17000 20000 21250 25000 34000 42500 50000 53125 68000 85000 90313 100000 106250 170000 180626 212500 340000 361252 425000 451565 722504 850000 903130 1445008 1535321 1700000 1806260 2257825 2890016 3070642 3612520 4515650 6141284 7225040 7676605 9031300 11289125 12282568 14450080 15353210 18062600 22578250 24565136 30706420 36125200 38383025 45156500 49130272 56445625 61412840 72250400 76766050 90313000 112891250 122825680 153532100 180626000 191915125 225782500 245651360 282228125 307064200 361252000 383830250 451565000 564456250 614128400 767660500 903130000 959575625 1128912500 1228256800 1535321000 1806260000 1919151250 2257825000 3070642000 3838302500 4515650000 4797878125 6141284000 7676605000 9031300000 9595756250 15353210000 19191512500 30706420000 38383025000 76766050000 153532100000