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508349049488 = 247171621164707
BaseRepresentation
bin1110110010110111111…
…01101110101010010000
31210121010201102101000122
413121123331232222100
531312044324040423
61025310552205412
751504235424450
oct7313375565220
91717121371018
10508349049488
111866538709a5
1282631099868
1338c24aa3547
141a865dcbd60
15d353aca8c8
hex765bf6ea90

508349049488 has 80 divisors (see below), whose sum is σ = 1192586062464. Its totient is φ = 204920616960.

The previous prime is 508349049473. The next prime is 508349049511. The reversal of 508349049488 is 884940943805.

It is a super-3 number, since 3×5083490494883 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 508349049488.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3004031 + ... + 3168737.

Almost surely, 2508349049488 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 508349049488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596293031232).

508349049488 is an abundant number, since it is smaller than the sum of its proper divisors (684237012976).

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

508349049488 is a wasteful number, since it uses less digits than its factorization.

508349049488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166360 (or 166354 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 62.

The spelling of 508349049488 in words is "five hundred eight billion, three hundred forty-nine million, forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1621 1904 3242 6484 11347 12968 22694 25936 27557 45388 55114 90776 110228 164707 181552 192899 220456 329414 385798 440912 658828 771596 1152949 1317656 1543192 2305898 2635312 2800019 3086384 4611796 5600038 9223592 11200076 18447184 19600133 22400152 39200266 44800304 78400532 156801064 266990047 313602128 533980094 1067960188 1868930329 2135920376 3737860658 4271840752 4538830799 7475721316 9077661598 14951442632 18155323196 29902885264 31771815593 36310646392 63543631186 72621292784 127087262372 254174524744 508349049488