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102930637788 = 223311213757493
BaseRepresentation
bin101111111011100100…
…1001110001111011100
3100211200102011011112000
41133313021032033130
53141300220402123
6115141412442300
710302500661666
oct1376711161734
9324612134460
10102930637788
113a71a730700
1217b47319390
139924a19844
144da636d536
152a2667bb43
hex17f724e3dc

102930637788 has 144 divisors (see below), whose sum is σ = 295468565280. Its totient is φ = 30962891520.

The previous prime is 102930637787. The next prime is 102930637793. The reversal of 102930637788 is 887736039201.

102930637788 is a `hidden beast` number, since 102 + 93 + 0 + 6 + 377 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102930637787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1761570 + ... + 1819062.

Almost surely, 2102930637788 is an apocalyptic number.

102930637788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102930637788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147734282640).

102930637788 is an abundant number, since it is smaller than the sum of its proper divisors (192537927492).

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

102930637788 is a wasteful number, since it uses less digits than its factorization.

102930637788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57665 (or 57646 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 102930637788 in words is "one hundred two billion, nine hundred thirty million, six hundred thirty-seven thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 137 198 242 274 297 363 396 411 484 548 594 726 822 1089 1188 1233 1452 1507 1644 2178 2466 3014 3267 3699 4356 4521 4932 6028 6534 7398 9042 13068 13563 14796 16577 18084 27126 33154 40689 49731 54252 57493 66308 81378 99462 114986 149193 162756 172479 198924 229972 298386 344958 447579 517437 596772 632423 689916 895158 1034874 1264846 1552311 1790316 1897269 2069748 2529692 3104622 3794538 5691807 6209244 6956653 7589076 7876541 11383614 13913306 15753082 17075421 20869959 22767228 23629623 27826612 31506164 34150842 41739918 47259246 62609877 68301684 70888869 83479836 86641951 94518492 125219754 141777738 173283902 187829631 212666607 250439508 259925853 283555476 346567804 375659262 425333214 519851706 751318524 779777559 850666428 953061461 1039703412 1559555118 1906122922 2339332677 2859184383 3119110236 3812245844 4678665354 5718368766 8577553149 9357330708 11436737532 17155106298 25732659447 34310212596 51465318894 102930637788