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748169641024 = 2613283172
BaseRepresentation
bin10101110001100100110…
…00101011110001000000
32122112011020011200212121
422320302120223301000
544224222412003044
61331412051534024
7105024225006511
oct12706230536100
92575136150777
10748169641024
1126932a291983
121010005ba314
1355723c4a400
14282d68d8a08
15146dcde8984
hexae3262bc40

748169641024 has 63 divisors (see below), whose sum is σ = 1607831135487. Its totient is φ = 345267546624.

The previous prime is 748169641001. The next prime is 748169641027. The reversal of 748169641024 is 420146961847.

It is a happy number.

The square root of 748169641024 is 864968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 50610601024 + 697559040000 = 224968^2 + 835200^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (748169641027) 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 8 ways as a sum of consecutive naturals, for example, 89952514 + ... + 89960830.

Almost surely, 2748169641024 is an apocalyptic number.

748169641024 is the 864968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 748169641024

748169641024 is an abundant number, since it is smaller than the sum of its proper divisors (859661494463).

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

748169641024 is an frugal number, since it uses more digits than its factorization.

748169641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16672 (or 8332 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 748169641024 in words is "seven hundred forty-eight billion, one hundred sixty-nine million, six hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 8317 10816 16634 33268 66536 108121 133072 216242 266144 432484 532288 864968 1405573 1729936 2811146 3459872 5622292 6919744 11244584 22489168 44978336 69172489 89956672 138344978 276689956 553379912 899242357 1106759824 1798484714 2213519648 3596969428 4427039296 7193938856 11690150641 14387877712 23380301282 28775755424 46760602564 57551510848 93521205128 187042410256 374084820512 748169641024