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95341998018852 = 2232131249901318097
BaseRepresentation
bin10101101011011010001001…
…111011001001000100100100
3110111120121100202210211201100
4111223122021323021010210
544444040402443100402
6534435301554400100
726040142406444214
oct2553321173110444
9414517322724640
1095341998018852
1128419350359102
12a839b02290030
134127933b95510
14197881227a244
15b050e686471c
hex56b689ec9124

95341998018852 has 144 divisors (see below), whose sum is σ = 259793079910000. Its totient is φ = 29307639988224.

The previous prime is 95341998018833. The next prime is 95341998018853. The reversal of 95341998018852 is 25881089914359.

95341998018852 is a `hidden beast` number, since 9 + 5 + 3 + 419 + 9 + 80 + 1 + 88 + 52 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19380210071616 + 75961787947236 = 4402296^2 + 8715606^2 .

It is not an unprimeable number, because it can be changed into a prime (95341998018853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5268377868 + ... + 5268395964.

Almost surely, 295341998018852 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 95341998018852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129896539955000).

95341998018852 is an abundant number, since it is smaller than the sum of its proper divisors (164451081891148).

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

95341998018852 is a wasteful number, since it uses less digits than its factorization.

95341998018852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28382 (or 28377 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 72.

The spelling of 95341998018852 in words is "ninety-five trillion, three hundred forty-one billion, nine hundred ninety-eight million, eighteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1249 2498 3747 4996 7494 9013 11241 14988 16237 18026 18097 22482 27039 32474 36052 36194 44964 48711 54078 54291 64948 72388 81117 97422 108156 108582 117169 146133 162234 162873 194844 217164 234338 235261 292266 324468 325746 351507 468676 470522 584532 651492 703014 705783 941044 1054521 1406028 1411566 2109042 2117349 2823132 4218084 4234698 8469396 11257237 22514474 22603153 33771711 45028948 45206306 67543422 67809459 90412612 101315133 135086844 135618918 146344081 163108261 202630266 203428377 271237836 292688162 293840989 326216522 405260532 406856754 439032243 489324783 585376324 587681978 652433044 813713508 878064486 881522967 978649566 1175363956 1317096729 1467974349 1756128972 1763045934 1957299132 2120407393 2634193458 2644568901 2935948698 3526091868 4240814786 5268386916 5289137802 5871897396 6361222179 8481629572 10578275604 12722444358 19083666537 25444888716 38167333074 76334666148 203722217989 407444435978 611166653967 814888871956 1222333307934 1833499961901 2444666615868 2648388833857 3666999923802 5296777667714 7333999847604 7945166501571 10593555335428 15890333003142 23835499504713 31780666006284 47670999009426 95341998018852