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151890720128 = 277517132783
BaseRepresentation
bin1000110101110101100…
…1000111010110000000
3112112001112012001021222
42031131121013112000
54442033011021003
6153435545134212
713654664550560
oct2153531072600
9475045161258
10151890720128
1159464396174
122552ba8a368
13114281b4174
1474cc920da0
153e3eaa7c38
hex235d647580

151890720128 has 64 divisors (see below), whose sum is σ = 345900049920. Its totient is φ = 65081448960.

The previous prime is 151890720109. The next prime is 151890720133. The reversal of 151890720128 is 821027098151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1518907201282 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 4616825 + ... + 4649607.

It is an arithmetic number, because the mean of its divisors is an integer number (5404688280).

Almost surely, 2151890720128 is an apocalyptic number.

It is an amenable number.

151890720128 is an abundant number, since it is smaller than the sum of its proper divisors (194009329792).

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

151890720128 is an equidigital number, since it uses as much as digits as its factorization.

151890720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37975 (or 37963 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 44.

The spelling of 151890720128 in words is "one hundred fifty-one billion, eight hundred ninety million, seven hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 5171 10342 20684 32783 36197 41368 65566 72394 82736 131132 144788 165472 229481 262264 289576 330944 458962 524528 579152 661888 917924 1049056 1158304 1835848 2098112 2316608 3671696 4196224 4633216 7343392 14686784 29373568 169520893 339041786 678083572 1186646251 1356167144 2373292502 2712334288 4746585004 5424668576 9493170008 10849337152 18986340016 21698674304 37972680032 75945360064 151890720128