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5344158440352 = 253166417334511
BaseRepresentation
bin100110111000100100010…
…1010100101101110100000
3200220220012120221100102010
41031301020222211232200
51200024314030042402
615211023354152520
71061050141144224
oct115611052455640
920826176840363
105344158440352
111780499132666
12723897a22740
132c9c4b65c704
14146931490784
15940319d7a6c
hex4dc48aa5ba0

5344158440352 has 48 divisors (see below), whose sum is σ = 14028542140032. Its totient is φ = 1781370117120.

The previous prime is 5344158440351. The next prime is 5344158440407. The reversal of 5344158440352 is 2530448514435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×53441584403522 (a number of 26 digits) contains 22 as substring.

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 (5344158440351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15808777 + ... + 16143287.

It is an arithmetic number, because the mean of its divisors is an integer number (292261294584).

Almost surely, 25344158440352 is an apocalyptic number.

It is an amenable number.

5344158440352 is an abundant number, since it is smaller than the sum of its proper divisors (8684383699680).

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

5344158440352 is a wasteful number, since it uses less digits than its factorization.

5344158440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500941 (or 500933 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 5344158440352 in words is "five trillion, three hundred forty-four billion, one hundred fifty-eight million, four hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 166417 332834 334511 499251 665668 669022 998502 1003533 1331336 1338044 1997004 2007066 2662672 2676088 3994008 4014132 5325344 5352176 7988016 8028264 10704352 15976032 16056528 32113056 55668317087 111336634174 167004951261 222673268348 334009902522 445346536696 668019805044 890693073392 1336039610088 1781386146784 2672079220176 5344158440352