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53556378064 = 2477111096073
BaseRepresentation
bin110001111000001101…
…010111100111010000
312010020102202220011221
4301320031113213100
51334140413044224
640334203014424
73604114462630
oct617015274720
9163212686157
1053556378064
11207931a7582
12a467b0a414
1350867b8847
142840ba66c0
1515d6bdb6e4
hexc783579d0

53556378064 has 80 divisors (see below), whose sum is σ = 120387651840. Its totient is φ = 22605327360.

The previous prime is 53556378023. The next prime is 53556378103. The reversal of 53556378064 is 46087365535.

53556378064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8815732 + ... + 8821804.

It is an arithmetic number, because the mean of its divisors is an integer number (1504845648).

Almost surely, 253556378064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53556378064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60193825920).

53556378064 is an abundant number, since it is smaller than the sum of its proper divisors (66831273776).

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

53556378064 is a wasteful number, since it uses less digits than its factorization.

53556378064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 52.

The spelling of 53556378064 in words is "fifty-three billion, five hundred fifty-six million, three hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1109 1136 1988 2218 3976 4436 6073 7763 7952 8872 12146 15526 17744 24292 31052 42511 48584 62104 78739 85022 97168 124208 157478 170044 314956 340088 431183 551173 629912 680176 862366 1102346 1259824 1724732 2204692 3018281 3449464 4409384 6036562 6734957 6898928 8818768 12073124 13469914 24146248 26939828 47144699 48292496 53879656 94289398 107759312 188578796 377157592 478181947 754315184 956363894 1912727788 3347273629 3825455576 6694547258 7650911152 13389094516 26778189032 53556378064