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153039354816 = 26323199174149
BaseRepresentation
bin1000111010000111011…
…0110011101111000000
3112122000120112201212110
42032201312303233000
510001411033323231
6154145540255320
714025313024005
oct2164166635700
9478016481773
10153039354816
11599a37a9437
12257b06a1540
131157c16296a
14759b2bd8ac
153eaa849046
hex23a1db3bc0

153039354816 has 112 divisors (see below), whose sum is σ = 424647360000. Its totient is φ = 48549676032.

The previous prime is 153039354791. The next prime is 153039354851. The reversal of 153039354816 is 618453930351.

153039354816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791710 + ... + 965858.

Almost surely, 2153039354816 is an apocalyptic number.

153039354816 is a gapful number since it is divisible by the number (16) 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 153039354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212323680000).

153039354816 is an abundant number, since it is smaller than the sum of its proper divisors (271608005184).

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

153039354816 is a wasteful number, since it uses less digits than its factorization.

153039354816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174386 (or 174376 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 153039354816 in words is "one hundred fifty-three billion, thirty-nine million, three hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 199 276 368 398 552 597 736 796 1104 1194 1472 1592 2208 2388 3184 4416 4577 4776 6368 9154 9552 12736 13731 18308 19104 27462 36616 38208 54924 73232 109848 146464 174149 219696 292928 348298 439392 522447 696596 878784 1044894 1393192 2089788 2786384 4005427 4179576 5572768 8010854 8359152 11145536 12016281 16021708 16718304 24032562 32043416 33436608 34655651 48065124 64086832 69311302 96130248 103966953 128173664 138622604 192260496 207933906 256347328 277245208 384520992 415867812 554490416 769041984 797079973 831735624 1108980832 1594159946 1663471248 2217961664 2391239919 3188319892 3326942496 4782479838 6376639784 6653884992 9564959676 12753279568 19129919352 25506559136 38259838704 51013118272 76519677408 153039354816