Search a number
-
+
545252353152 = 27313148173751
BaseRepresentation
bin1111110111100111001…
…00101010010010000000
31221010101120111102202020
413323303210222102000
532413134100300102
61054252510121440
754251601350163
oct7736344522200
91833346442666
10545252353152
111a0270814171
128980bab0280
133c5564166c0
141c5671c1ada
15e2b37bcbbc
hex7ef392a480

545252353152 has 128 divisors (see below), whose sum is σ = 1560810625920. Its totient is φ = 167654400000.

The previous prime is 545252353109. The next prime is 545252353157. The reversal of 545252353152 is 251353252545.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (545252353157) by changing a digit.

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, 7356277 + ... + 7430027.

It is an arithmetic number, because the mean of its divisors is an integer number (12193833015).

Almost surely, 2545252353152 is an apocalyptic number.

545252353152 is a gapful number since it is divisible by the number (52) 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 545252353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780405312960).

545252353152 is an abundant number, since it is smaller than the sum of its proper divisors (1015558272768).

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

545252353152 is a wasteful number, since it uses less digits than its factorization.

545252353152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75262 (or 75250 counting only the distinct ones).

The product of its digits is 900000, while the sum is 42.

The spelling of 545252353152 in words is "five hundred forty-five billion, two hundred fifty-two million, three hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1481 1664 2496 2962 4443 4992 5924 8886 11848 17772 19253 23696 35544 38506 47392 57759 71088 73751 77012 94784 115518 142176 147502 154024 189568 221253 231036 284352 295004 308048 442506 462072 568704 590008 616096 885012 924144 958763 1180016 1232192 1770024 1848288 1917526 2360032 2464384 2876289 3540048 3696576 3835052 4720064 5752578 7080096 7393152 7670104 9440128 11505156 14160192 15340208 23010312 28320384 30680416 46020624 61360832 92041248 109225231 122721664 184082496 218450462 327675693 368164992 436900924 655351386 873801848 1310702772 1419928003 1747603696 2621405544 2839856006 3495207392 4259784009 5242811088 5679712012 6990414784 8519568018 10485622176 11359424024 13980829568 17039136036 20971244352 22718848048 34078272072 41942488704 45437696096 68156544144 90875392192 136313088288 181750784384 272626176576 545252353152