Search a number
-
+
103690008948 = 2231910319123117
BaseRepresentation
bin110000010010001100…
…1111111100101110100
3100220122100001012220210
41200210121333211310
53144324120241243
6115345020425420
710330351351041
oct1404431774564
9326570035823
10103690008948
113aa7a341479
12181196a8270
139a161458a6
1450391601c8
152a6d17a933
hex182467f974

103690008948 has 96 divisors (see below), whose sum is σ = 258507325440. Its totient is φ = 32255141760.

The previous prime is 103690008937. The next prime is 103690008949. The reversal of 103690008948 is 849800096301.

It is a junction number, because it is equal to n+sod(n) for n = 103690008897 and 103690008906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103690008949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4473886 + ... + 4497002.

It is an arithmetic number, because the mean of its divisors is an integer number (2692784640).

Almost surely, 2103690008948 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 103690008948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129253662720).

103690008948 is an abundant number, since it is smaller than the sum of its proper divisors (154817316492).

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

103690008948 is a wasteful number, since it uses less digits than its factorization.

103690008948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23437 (or 23435 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 103690008948 in words is "one hundred three billion, six hundred ninety million, eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 103 114 191 206 228 309 382 412 573 618 764 1146 1236 1957 2292 3629 3914 5871 7258 7828 10887 11742 14516 19673 21774 23117 23484 39346 43548 46234 59019 69351 78692 92468 118038 138702 236076 277404 373787 439223 747574 878446 1121361 1317669 1495148 1756892 2242722 2381051 2635338 4415347 4485444 4762102 5270676 7143153 8830694 9524204 13246041 14286306 17661388 26492082 28572612 45239969 52984164 83891593 90479938 135719907 167783186 180959876 251674779 271439814 335566372 454780741 503349558 542879628 909561482 1006699116 1364342223 1819122964 2728684446 5457368892 8640834079 17281668158 25922502237 34563336316 51845004474 103690008948