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102052246950 = 23352174446721
BaseRepresentation
bin101111100001011001…
…0011011010110100110
3100202102012022021211000
41133002302123112212
53133000333400300
6114514313454130
710241643533523
oct1370262332646
9322365267730
10102052246950
113a309918665
1217941111346
139814a4ab54
144d2183a14a
1529c44bcc00
hex17c2c9b5a6

102052246950 has 96 divisors (see below), whose sum is σ = 297752505120. Its totient is φ = 25613107200.

The previous prime is 102052246949. The next prime is 102052246957. The reversal of 102052246950 is 59642250201.

102052246950 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 522 + 46 + 95 + 0 = 666.

It is a super-2 number, since 2×1020522469502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102052246957) 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, 2200411 + ... + 2246310.

It is an arithmetic number, because the mean of its divisors is an integer number (3101588595).

Almost surely, 2102052246950 is an apocalyptic number.

102052246950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102052246950 is an abundant number, since it is smaller than the sum of its proper divisors (195700258170).

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

102052246950 is a wasteful number, since it uses less digits than its factorization.

102052246950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446759 (or 4446748 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 102052246950 in words is "one hundred two billion, fifty-two million, two hundred forty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 85 90 102 135 150 153 170 225 255 270 306 425 450 459 510 675 765 850 918 1275 1350 1530 2295 2550 3825 4590 7650 11475 22950 4446721 8893442 13340163 22233605 26680326 40020489 44467210 66700815 75594257 80040978 111168025 120061467 133401630 151188514 200102445 222336050 226782771 240122934 333504075 377971285 400204890 453565542 600307335 667008150 680348313 755942570 1000512225 1133913855 1200614670 1360696626 1889856425 2001024450 2041044939 2267827710 3001536675 3401741565 3779712850 4082089878 5669569275 6003073350 6803483130 10205224695 11339138550 17008707825 20410449390 34017415650 51026123475 102052246950