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164425426300 = 225217738914887
BaseRepresentation
bin1001100100100010000…
…1001110010101111100
3120201102002110002121201
42121020201032111330
510143220402120200
6203311435305244
714610421030462
oct2311041162574
9521362402551
10164425426300
1163806959473
1227a498ab224
1312675062b75
147d5b56a832
154425249c6a
hex264884e57c

164425426300 has 144 divisors (see below), whose sum is σ = 387295836480. Its totient is φ = 60363325440.

The previous prime is 164425426267. The next prime is 164425426303. The reversal of 164425426300 is 3624524461.

It is a super-3 number, since 3×1644254263003 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164425426300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164425426303) 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 47 ways as a sum of consecutive naturals, for example, 11037457 + ... + 11052343.

It is an arithmetic number, because the mean of its divisors is an integer number (2689554420).

Almost surely, 2164425426300 is an apocalyptic number.

164425426300 is a gapful number since it is divisible by the number (10) 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 164425426300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193647918240).

164425426300 is an abundant number, since it is smaller than the sum of its proper divisors (222870410180).

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

164425426300 is a wasteful number, since it uses less digits than its factorization.

164425426300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15080 (or 15073 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 164425426300 in words is "one hundred sixty-four billion, four hundred twenty-five million, four hundred twenty-six thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 89 100 146 170 178 292 340 356 365 425 445 730 850 890 1241 1460 1513 1700 1780 1825 2225 2482 3026 3650 4450 4964 6052 6205 6497 7300 7565 8900 12410 12994 14887 15130 24820 25988 29774 30260 31025 32485 37825 59548 62050 64970 74435 75650 110449 124100 129940 148870 151300 162425 220898 253079 297740 324850 372175 441796 506158 552245 649700 744350 1012316 1086751 1104490 1265395 1324943 1488700 2173502 2208980 2530790 2649886 2761225 4347004 5061580 5299772 5433755 5522450 6326975 6624715 10867510 11044900 12653950 13249430 18474767 21735020 22524031 25307900 26498860 27168775 33123575 36949534 45048062 54337550 66247150 73899068 90096124 92373835 96720839 108675100 112620155 132494300 184747670 193441678 225240310 369495340 386883356 450480620 461869175 483604195 563100775 923738350 967208390 1126201550 1644254263 1847476700 1934416780 2252403100 2418020975 3288508526 4836041950 6577017052 8221271315 9672083900 16442542630 32885085260 41106356575 82212713150 164425426300