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469532970816 = 263713231168411
BaseRepresentation
bin1101101010100100101…
…10001000111101000000
31122212221120010021021020
412311102112020331000
530143100420031231
6555411145025440
745631315254360
oct6652226107500
91585846107236
10469532970816
11171145137538
1276bb9785280
133537a0a5b60
1418a22b669a0
15c331005396
hex6d52588f40

469532970816 has 224 divisors, whose sum is σ = 1595471259648. Its totient is φ = 118448732160.

The previous prime is 469532970811. The next prime is 469532970869. The reversal of 469532970816 is 618079235964.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4695329708162 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 469532970816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469532970811) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 182350 + ... + 986061.

It is an arithmetic number, because the mean of its divisors is an integer number (7122639552).

It is a 1-persistent number, because it is pandigital, but 2⋅469532970816 = 939065941632 is not.

Almost surely, 2469532970816 is an apocalyptic number.

469532970816 is a gapful number since it is divisible by the number (46) 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 469532970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797735629824).

469532970816 is an abundant number, since it is smaller than the sum of its proper divisors (1125938288832).

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

469532970816 is a wasteful number, since it uses less digits than its factorization.

469532970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168469 (or 1168459 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 469532970816 in words is "four hundred sixty-nine billion, five hundred thirty-two million, nine hundred seventy thousand, eight hundred sixteen".