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748141413404 = 2271110375731153
BaseRepresentation
bin10101110001100001011…
…01000000010000011100
32122112002021001120212012
422320300231000100130
544224143200212104
61331405202530352
7105023433042320
oct12706055002034
92575067046765
10748141413404
11269315362070
12100bb30669b8
135571b146088
14282d2c6b980
15146da6bed6e
hexae30b4041c

748141413404 has 96 divisors (see below), whose sum is σ = 1650386390016. Its totient is φ = 288263162880.

The previous prime is 748141413281. The next prime is 748141413413. The reversal of 748141413404 is 404314141847.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23999492 + ... + 24030644.

It is an arithmetic number, because the mean of its divisors is an integer number (17191524896).

Almost surely, 2748141413404 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 748141413404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825193195008).

748141413404 is an abundant number, since it is smaller than the sum of its proper divisors (902244976612).

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

748141413404 is a wasteful number, since it uses less digits than its factorization.

748141413404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32035 (or 32033 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 748141413404 in words is "seven hundred forty-eight billion, one hundred forty-one million, four hundred thirteen thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 103 154 206 308 412 721 757 1133 1442 1514 2266 2884 3028 4532 5299 7931 8327 10598 15862 16654 21196 31153 31724 33308 58289 62306 77971 116578 124612 155942 218071 233156 311884 342683 436142 545797 685366 857681 872284 1091594 1370732 1715362 2183188 2398781 3208759 3430724 4797562 6003767 6417518 9595124 12007534 12835036 22461313 23582821 24015068 35296349 44922626 47165642 70592698 89845252 94331284 141185396 165079747 247074443 259411031 330159494 494148886 518822062 660318988 988297772 1037644124 1815877217 2429030563 3631754434 4858061126 7263508868 9716122252 17003213941 26719336193 34006427882 53438672386 68012855764 106877344772 187035353351 374070706702 748141413404