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5634542496 = 2531143124087
BaseRepresentation
bin1010011111101100…
…00100101110100000
3112112200101102020010
411033312010232200
543014420324441
62331035444520
7256425551412
oct51766045640
915480342203
105634542496
1124316091a0
121112bb6740
136ba45cc1b
143b647a9b2
1522e9e9116
hex14fd84ba0

5634542496 has 96 divisors (see below), whose sum is σ = 16510652928. Its totient is φ = 1667715840.

The previous prime is 5634542491. The next prime is 5634542567. The reversal of 5634542496 is 6942454365.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5634542491) 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, 16636 + ... + 107451.

It is an arithmetic number, because the mean of its divisors is an integer number (171985968).

Almost surely, 25634542496 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 5634542496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255326464).

5634542496 is an abundant number, since it is smaller than the sum of its proper divisors (10876110432).

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

5634542496 is a wasteful number, since it uses less digits than its factorization.

5634542496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124154 (or 124146 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The square root of 5634542496 is about 75063.5896823487. The cubic root of 5634542496 is about 1779.4517623143.

The spelling of 5634542496 in words is "five billion, six hundred thirty-four million, five hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 258 264 344 352 473 516 528 688 946 1032 1056 1376 1419 1892 2064 2838 3784 4128 5676 7568 11352 15136 22704 45408 124087 248174 372261 496348 744522 992696 1364957 1489044 1985392 2729914 2978088 3970784 4094871 5335741 5459828 5956176 8189742 10671482 10919656 11912352 16007223 16379484 21342964 21839312 32014446 32758968 42685928 43678624 58693151 64028892 65517936 85371856 117386302 128057784 131035872 170743712 176079453 234772604 256115568 352158906 469545208 512231136 704317812 939090416 1408635624 1878180832 2817271248 5634542496