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508354941066 = 2372192331127637
BaseRepresentation
bin1110110010111000101…
…00001101000010001010
31210121011010111200202020
413121130110031002022
531312102331103231
61025311322345310
751504336463200
oct7313424150212
91717133450666
10508354941066
11186657125375
128263305b236
1338c2608709b
141a866ac3070
15d354391396
hex765c50d08a

508354941066 has 192 divisors, whose sum is σ = 1340995461120. Its totient is φ = 127370517120.

The previous prime is 508354941053. The next prime is 508354941113. The reversal of 508354941066 is 660149453805.

It is a super-2 number, since 2×5083549410662 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3919000 + ... + 4046636.

It is an arithmetic number, because the mean of its divisors is an integer number (6984351360).

Almost surely, 2508354941066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508354941066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670497730560).

508354941066 is an abundant number, since it is smaller than the sum of its proper divisors (832640520054).

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

508354941066 is a wasteful number, since it uses less digits than its factorization.

508354941066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127729 (or 127722 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 508354941066 in words is "five hundred eight billion, three hundred fifty-four million, nine hundred forty-one thousand, sixty-six".