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506541224552 = 231121071132383
BaseRepresentation
bin1110101111100000011…
…01011011001001101000
31210102110201200100102112
413113300031123021220
531244344023141202
61024411332221452
751411364240016
oct7276015331150
91712421610375
10506541224552
11185906352300
128220776a888
13389c73a394c
141a733c798b6
15d29a028b52
hex75f035b268

506541224552 has 144 divisors (see below), whose sum is σ = 1065896133120. Its totient is φ = 225485370880.

The previous prime is 506541224551. The next prime is 506541224617. The reversal of 506541224552 is 255422145605.

It is not an unprimeable number, because it can be changed into a prime (506541224551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1322561753 + ... + 1322562135.

It is an arithmetic number, because the mean of its divisors is an integer number (7402056480).

Almost surely, 2506541224552 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 506541224552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532948066560).

506541224552 is an abundant number, since it is smaller than the sum of its proper divisors (559354908568).

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

506541224552 is a wasteful number, since it uses less digits than its factorization.

506541224552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 41.

The spelling of 506541224552 in words is "five hundred six billion, five hundred forty-one million, two hundred twenty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 107 113 121 214 226 242 383 428 452 484 766 856 904 968 1177 1243 1532 2354 2486 3064 4213 4708 4972 8426 9416 9944 12091 12769 12947 13673 16852 24182 25538 25894 27346 33704 40981 43279 46343 48364 51076 51788 54692 81962 86558 92686 96728 102152 103576 109384 133001 140459 163924 173116 185372 266002 280918 327848 346232 370744 450791 476069 532004 561836 901582 952138 1064008 1123672 1366283 1463011 1545049 1803164 1904276 2732566 2926022 3090098 3606328 3808552 4630853 4890527 4958701 5236759 5465132 5852044 6180196 9261706 9781054 9917402 10473518 10930264 11704088 12360392 15029113 18523412 19562108 19834804 20947036 30058226 37046824 39124216 39669608 41894072 50939383 53795797 60116452 101878766 107591594 120232904 165320243 203757532 215183188 330640486 407515064 430366376 523286389 560333213 591753767 661280972 1046572778 1120666426 1183507534 1322561944 2093145556 2241332852 2367015068 4186291112 4482665704 4734030136 5756150279 11512300558 23024601116 46049202232 63317653069 126635306138 253270612276 506541224552