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152810162000 = 245387412
BaseRepresentation
bin1000111001010000110…
…0100000011101010000
3112121102121021112102122
42032110030200131100
510000423400141000
6154111112033412
714016530642246
oct2162414403520
9477377245378
10152810162000
1159896397491
1225747992868
1311543826c02
147578a9c796
153e95675085
hex2394320750

152810162000 has 60 divisors (see below), whose sum is σ = 369537248028. Its totient is φ = 61117072000.

The previous prime is 152810161981. The next prime is 152810162009. The reversal of 152810162000 is 261018251.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 100915499584 + 51894662416 = 317672^2 + 227804^2 .

It is a super-2 number, since 2×1528101620002 (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 (152810162009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17477630 + ... + 17486370.

Almost surely, 2152810162000 is an apocalyptic number.

152810162000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152810162000 is an abundant number, since it is smaller than the sum of its proper divisors (216727086028).

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

152810162000 is an frugal number, since it uses more digits than its factorization.

152810162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17505 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The spelling of 152810162000 in words is "one hundred fifty-two billion, eight hundred ten million, one hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 8741 17482 34964 43705 69928 87410 139856 174820 218525 349640 437050 699280 874100 1092625 1748200 2185250 3496400 4370500 8741000 17482000 76405081 152810162 305620324 382025405 611240648 764050810 1222481296 1528101620 1910127025 3056203240 3820254050 6112406480 7640508100 9550635125 15281016200 19101270250 30562032400 38202540500 76405081000 152810162000