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748322450148 = 2237132317166289
BaseRepresentation
bin10101110001110110111…
…11100110101011100100
32122112112212201012120210
422320323133212223210
544230031021401043
61331435151055420
7105031061606250
oct12707337465344
92575485635523
10748322450148
112693a8572709
12101043811570
13557497c0b00
142830cd15260
15146eb530633
hexae3b7e6ae4

748322450148 has 144 divisors (see below), whose sum is σ = 2167665978240. Its totient is φ = 196735997952.

The previous prime is 748322450129. The next prime is 748322450233. The reversal of 748322450148 is 841054223847.

It is a junction number, because it is equal to n+sod(n) for n = 748322450097 and 748322450106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4416988 + ... + 4583276.

It is an arithmetic number, because the mean of its divisors is an integer number (15053235960).

Almost surely, 2748322450148 is an apocalyptic number.

748322450148 is a gapful number since it is divisible by the number (78) 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 748322450148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083832989120).

748322450148 is an abundant number, since it is smaller than the sum of its proper divisors (1419343528092).

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

748322450148 is a wasteful number, since it uses less digits than its factorization.

748322450148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166646 (or 166631 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 748322450148 in words is "seven hundred forty-eight billion, three hundred twenty-two million, four hundred fifty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 317 338 364 507 546 634 676 951 1014 1092 1183 1268 1902 2028 2219 2366 3549 3804 4121 4438 4732 6657 7098 8242 8876 12363 13314 14196 16484 24726 26628 28847 49452 53573 57694 86541 107146 115388 160719 166289 173082 214292 321438 332578 346164 375011 498867 642876 665156 750022 997734 1125033 1164023 1500044 1995468 2161757 2250066 2328046 3492069 4323514 4500132 4656092 6485271 6984138 8647028 12970542 13968276 15132299 25941084 28102841 30264598 45396897 52713613 56205682 60529196 84308523 90793794 105427226 112411364 158140839 168617046 181587588 196719887 210854452 316281678 337234092 368995291 393439774 590159661 632563356 685276969 737990582 786879548 1106985873 1180319322 1370553938 1475981164 2055830907 2213971746 2360638644 2741107876 4111661814 4427943492 4796938783 8223323628 8908600597 9593877566 14390816349 17817201194 19187755132 26725801791 28781632698 35634402388 53451603582 57563265396 62360204179 106903207164 124720408358 187080612537 249440816716 374161225074 748322450148