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163745238096 = 243311107322039
BaseRepresentation
bin1001100001111111111…
…0100000110001010000
3120122122200112221211000
42120133332200301100
510140322240104341
6203120140422000
714554521362466
oct2303776406120
9518580487730
10163745238096
1163497a10a60
1227899b47900
131259716c33b
147cd50ac836
1543d568c8b6
hex261ffa0c50

163745238096 has 160 divisors (see below), whose sum is σ = 517531161600. Its totient is φ = 49155880320.

The previous prime is 163745238067. The next prime is 163745238101. The reversal of 163745238096 is 690832547361.

163745238096 is a `hidden beast` number, since 1 + 6 + 37 + 4 + 523 + 80 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 347445 + ... + 669483.

It is an arithmetic number, because the mean of its divisors is an integer number (3234569760).

It is a 1-persistent number, because it is pandigital, but 2⋅163745238096 = 327490476192 is not.

Almost surely, 2163745238096 is an apocalyptic number.

163745238096 is a gapful number since it is divisible by the number (16) 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 163745238096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258765580800).

163745238096 is an abundant number, since it is smaller than the sum of its proper divisors (353785923504).

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

163745238096 is a wasteful number, since it uses less digits than its factorization.

163745238096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322174 (or 322162 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 163745238096 in words is "one hundred sixty-three billion, seven hundred forty-five million, two hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 107 108 132 144 176 198 214 216 264 297 321 396 428 432 528 594 642 792 856 963 1177 1188 1284 1584 1712 1926 2354 2376 2568 2889 3531 3852 4708 4752 5136 5778 7062 7704 9416 10593 11556 14124 15408 18832 21186 23112 28248 31779 42372 46224 56496 63558 84744 127116 169488 254232 322039 508464 644078 966117 1288156 1932234 2576312 2898351 3542429 3864468 5152624 5796702 7084858 7728936 8695053 10627287 11593404 14169716 15457872 17390106 21254574 23186808 28339432 31881861 34458173 34780212 42509148 46373616 56678864 63763722 68916346 69560424 85018296 95645583 103374519 127527444 137832692 139120848 170036592 191291166 206749038 255054888 275665384 310123557 379039903 382582332 413498076 510109776 551330768 620247114 758079806 765164664 826996152 930370671 1137119709 1240494228 1516159612 1530329328 1653992304 1860741342 2274239418 2480988456 3032319224 3411359127 3721482684 4548478836 4961976912 6064638448 6822718254 7442965368 9096957672 10234077381 13645436508 14885930736 18193915344 20468154762 27290873016 40936309524 54581746032 81872619048 163745238096