Search a number
-
+
95229629820 = 2232513192141917
BaseRepresentation
bin101100010110000100…
…0001101010101111100
3100002210201100102120200
41120230020031111330
53030012241123240
6111425313243500
76610610332503
oct1305410152574
9302721312520
1095229629820
1137428709406
1216558263590
138c984107b0
14487569583a
152725541930
hex162c20d57c

95229629820 has 144 divisors (see below), whose sum is σ = 327456423840. Its totient is φ = 22207385088.

The previous prime is 95229629791. The next prime is 95229629837. The reversal of 95229629820 is 2892692259.

95229629820 is a `hidden beast` number, since 9 + 5 + 2 + 2 + 9 + 629 + 8 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 1026499 + ... + 1115418.

Almost surely, 295229629820 is an apocalyptic number.

95229629820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

95229629820 is an abundant number, since it is smaller than the sum of its proper divisors (232226794020).

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

95229629820 is a wasteful number, since it uses less digits than its factorization.

95229629820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141964 (or 2141959 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 95229629820 in words is "ninety-five billion, two hundred twenty-nine million, six hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 2141917 4283834 6425751 8567668 10709585 12851502 19277253 21419170 25703004 27844921 32128755 38554506 40696423 42838340 55689842 64257510 77109012 81392846 83534763 96386265 111379684 122089269 128515020 139224605 162785692 167069526 192772530 203482115 244178538 250604289 278449210 334139052 366267807 385545060 406964230 417673815 488357076 501208578 529053499 556898420 610446345 732535614 813928460 835347630 1002417156 1058106998 1220892690 1253021445 1465071228 1587160497 1670695260 1831339035 2116213996 2441785380 2506042890 2645267495 3174320994 3662678070 4761481491 5012085780 5290534990 6348641988 7325356140 7935802485 9522962982 10581069980 15871604970 19045925964 23807407455 31743209940 47614814910 95229629820