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745946673920 = 2857187344449
BaseRepresentation
bin10101101101011011110…
…00101111001100000000
32122022102022021021021122
422312231320233030000
544210144322031140
61330403322011412
7104615153053040
oct12665570571400
92568368237248
10745946673920
112683994a5888
121006a0046b68
135545b536c66
142816559d720
151460cb91ab5
hexadade2f300

745946673920 has 144 divisors (see below), whose sum is σ = 2043165230400. Its totient is φ = 255610847232.

The previous prime is 745946673911. The next prime is 745946674013. The reversal of 745946673920 is 29376649547.

745946673920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16759856 + ... + 16804304.

Almost surely, 2745946673920 is an apocalyptic number.

745946673920 is a gapful number since it is divisible by the number (70) 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 745946673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021582615200).

745946673920 is an abundant number, since it is smaller than the sum of its proper divisors (1297218556480).

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

745946673920 is a wasteful number, since it uses less digits than its factorization.

745946673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46350 (or 46336 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 62.

The spelling of 745946673920 in words is "seven hundred forty-five billion, nine hundred forty-six million, six hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 1873 2240 3746 4480 7492 8960 9365 13111 14984 18730 26222 29968 37460 44449 52444 59936 65555 74920 88898 104888 119872 131110 149840 177796 209776 222245 239744 262220 299680 311143 355592 419552 444490 479488 524440 599360 622286 711184 839104 888980 1048880 1198720 1244572 1422368 1555715 1678208 1777960 2097760 2397440 2489144 2844736 3111430 3356416 3555920 4195520 4978288 5689472 6222860 7111840 8391040 9956576 11378944 12445720 14223680 16782080 19913152 24891440 28447360 39826304 49782880 56894720 79652608 83252977 99565760 166505954 199131520 333011908 398263040 416264885 582770839 666023816 832529770 1165541678 1332047632 1665059540 2331083356 2664095264 2913854195 3330119080 4662166712 5328190528 5827708390 6660238160 9324333424 10656381056 11655416780 13320476320 18648666848 21312762112 23310833560 26640952640 37297333696 46621667120 53281905280 74594667392 93243334240 106563810560 149189334784 186486668480 372973336960 745946673920