Search a number
-
+
48988251026442 = 23371336497273149
BaseRepresentation
bin10110010001101111101110…
…10011001111010000001010
320102110020020102222010212000
423020313313103033100022
522410110414230321232
6252104520345331430
713214166346143630
oct1310676723172012
9212406212863760
1048988251026442
11146778896464a2
1255b2302196b76
1321447593045a0
14c15088a49350
1559e46bc1127c
hex2c8df74cf40a

48988251026442 has 128 divisors (see below), whose sum is σ = 133989121728000. Its totient is φ = 12919576992768.

The previous prime is 48988251026423. The next prime is 48988251026483. The reversal of 48988251026442 is 24462015288984.

48988251026442 is a `hidden beast` number, since 4 + 8 + 9 + 8 + 82 + 5 + 102 + 6 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 48988251026442.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179209684 + ... + 179482832.

It is an arithmetic number, because the mean of its divisors is an integer number (1046790013500).

Almost surely, 248988251026442 is an apocalyptic number.

48988251026442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

48988251026442 is an abundant number, since it is smaller than the sum of its proper divisors (85000870701558).

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

48988251026442 is a wasteful number, since it uses less digits than its factorization.

48988251026442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309677 (or 309671 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 48988251026442 in words is "forty-eight trillion, nine hundred eighty-eight billion, two hundred fifty-one million, twenty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 36497 72994 109491 218982 255479 273149 328473 474461 510958 546298 656946 766437 819447 948922 985419 1423383 1532874 1638894 1912043 1970838 2299311 2458341 2846766 3321227 3550937 3824086 4270149 4598622 4916682 5736129 6642454 6897933 7101874 7375023 8540298 9963681 10652811 11472258 12810447 13795866 14750046 17208387 19927362 21305622 24856559 25620894 29891043 31958433 34416774 49713118 51625161 59782086 63916866 74569677 89673129 95875299 103250322 149139354 179346258 191750598 223709031 447418062 671127093 1342254186 9969119053 19938238106 29907357159 59814714318 69783833371 89722071477 129598547689 139567666742 179444142954 209351500113 259197095378 269166214431 388795643067 418703000226 538332428862 628054500339 777591286134 907189833823 1166386929201 1256109000678 1814379667646 1884163501017 2332773858402 2721569501469 3499160787603 3768327002034 5443139002938 6998321575206 8164708504407 16329417008814 24494125513221 48988251026442