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45509149488 = 24311457188603
BaseRepresentation
bin101010011000100011…
…101000001100110000
311100110121111022212010
4222120203220030300
51221200320240423
632523455002520
73200521250055
oct523043501460
9140417438763
1045509149488
1118333801650
1289a0b09440
1343a354a92a
1422ba12702c
1512b54b2693
hexa988e8330

45509149488 has 80 divisors (see below), whose sum is σ = 128534380416. Its totient is φ = 13760401920.

The previous prime is 45509149487. The next prime is 45509149489. The reversal of 45509149488 is 88494190554.

It is an interprime number because it is at equal distance from previous prime (45509149487) and next prime (45509149489).

It is a super-2 number, since 2×455091494882 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45509149487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146995 + ... + 335597.

Almost surely, 245509149488 is an apocalyptic number.

45509149488 is a gapful number since it is divisible by the number (48) 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 45509149488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64267190208).

45509149488 is an abundant number, since it is smaller than the sum of its proper divisors (83025230928).

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

45509149488 is a wasteful number, since it uses less digits than its factorization.

45509149488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189082 (or 189076 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 45509149488 in words is "forty-five billion, five hundred nine million, one hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 457 528 914 1371 1828 2742 3656 5027 5484 7312 10054 10968 15081 20108 21936 30162 40216 60324 80432 120648 188603 241296 377206 565809 754412 1131618 1508824 2074633 2263236 3017648 4149266 4526472 6223899 8298532 9052944 12447798 16597064 24895596 33194128 49791192 86191571 99582384 172383142 258574713 344766284 517149426 689532568 948107281 1034298852 1379065136 1896214562 2068597704 2844321843 3792429124 4137195408 5688643686 7584858248 11377287372 15169716496 22754574744 45509149488