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29061248464 = 2429149420349
BaseRepresentation
bin11011000100001011…
…110111010111010000
32210000022212101100201
4123010023313113100
5434004134422324
621203415224544
72046110351623
oct330413672720
983008771321
1029061248464
1111363354116
125770678154
132981a51211
1415998c1dba
15b514e5444
hex6c42f75d0

29061248464 has 40 divisors (see below), whose sum is σ = 58638825000. Its totient is φ = 13935376896.

The previous prime is 29061248423. The next prime is 29061248473. The reversal of 29061248464 is 46484216092.

It can be written as a sum of positive squares in 4 ways, for example, as 129960000 + 28931288464 = 11400^2 + 170092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141039 + ... + 279310.

It is an arithmetic number, because the mean of its divisors is an integer number (1465970625).

Almost surely, 229061248464 is an apocalyptic number.

It is an amenable number.

29061248464 is an abundant number, since it is smaller than the sum of its proper divisors (29577576536).

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

29061248464 is a wasteful number, since it uses less digits than its factorization.

29061248464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420535 (or 420529 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

It can be divided in two parts, 290612 and 48464, that added together give a triangular number (339076 = T823).

The spelling of 29061248464 in words is "twenty-nine billion, sixty-one million, two hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 149 232 298 464 596 1192 2384 4321 8642 17284 34568 69136 420349 840698 1681396 3362792 6725584 12190121 24380242 48760484 62632001 97520968 125264002 195041936 250528004 501056008 1002112016 1816328029 3632656058 7265312116 14530624232 29061248464