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95190006240 = 2532579443453
BaseRepresentation
bin101100010100111000…
…1000011100111100000
3100002200221210100020200
41120221301003213200
53024422120144430
6111421340105200
76606616463040
oct1305161034740
9302627710220
1095190006240
113740830564a
1216546b35200
138c901493a4
1448702dd720
152721d16460
hex1629c439e0

95190006240 has 144 divisors (see below), whose sum is σ = 371241063648. Its totient is φ = 21757713408.

The previous prime is 95190006211. The next prime is 95190006259. The reversal of 95190006240 is 4260009159.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×951900062402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 95190006195 and 95190006204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4711647 + ... + 4731806.

It is an arithmetic number, because the mean of its divisors is an integer number (2578062942).

Almost surely, 295190006240 is an apocalyptic number.

95190006240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

95190006240 is an abundant number, since it is smaller than the sum of its proper divisors (276051057408).

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

95190006240 is a wasteful number, since it uses less digits than its factorization.

95190006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9443481 (or 9443470 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 95190006240 in words is "ninety-five billion, one hundred ninety million, six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 9443453 18886906 28330359 37773812 47217265 56660718 66104171 75547624 84991077 94434530 113321436 132208342 141651795 151095248 169982154 188869060 198312513 226642872 264416684 283303590 302190496 330520855 339964308 377738120 396625026 424955385 453285744 528833368 566607180 594937539 661041710 679928616 755476240 793250052 849910770 906571488 991562565 1057666736 1133214360 1189875078 1322083420 1359857232 1510952480 1586500104 1699821540 1983125130 2115333472 2266428720 2379750156 2644166840 2719714464 2974687695 3173000208 3399643080 3966250260 4532857440 4759500312 5288333680 5949375390 6346000416 6799286160 7932500520 9519000624 10576667360 11898750780 13598572320 15865001040 19038001248 23797501560 31730002080 47595003120 95190006240