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980701505148 = 2231922325738299
BaseRepresentation
bin11100100010101100101…
…11010110011001111100
310110202100202220022101110
432101112113112121330
5112031434041131043
62030310020442020
7130565461152441
oct16212627263174
93422322808343
10980701505148
11348a054840a2
1213a096b49310
1371631039411
14356753ab9c8
151a79c3b8b33
hexe4565d667c

980701505148 has 144 divisors (see below), whose sum is σ = 2529954604800. Its totient is φ = 295069851648.

The previous prime is 980701505143. The next prime is 980701505177. The reversal of 980701505148 is 841505107089.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 980701505097 and 980701505106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980701505143) 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, 25587303 + ... + 25625601.

It is an arithmetic number, because the mean of its divisors is an integer number (17569129200).

Almost surely, 2980701505148 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 980701505148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264977302400).

980701505148 is an abundant number, since it is smaller than the sum of its proper divisors (1549253099652).

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

980701505148 is a wasteful number, since it uses less digits than its factorization.

980701505148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38624 (or 38603 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 980701505148 in words is "nine hundred eighty billion, seven hundred one million, five hundred five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 257 276 361 437 514 722 771 874 1028 1083 1311 1444 1542 1748 2166 2622 3084 4332 4883 5244 5911 8303 9766 11822 14649 16606 17733 19532 23644 24909 29298 33212 35466 38299 49818 58596 70932 76598 92777 99636 112309 114897 153196 185554 224618 229794 278331 336927 371108 449236 459588 556662 673854 727681 880877 1113324 1347708 1455362 1761754 2133871 2183043 2642631 2910724 3523508 4267742 4366086 5285262 6401613 8535484 8732172 9842843 10570524 12803226 13825939 16736663 19685686 25606452 27651878 29528529 33473326 39371372 41477817 50209989 55303756 59057058 66946652 82955634 100419978 118114116 165911268 187014017 200839956 226385389 317996597 374028034 452770778 561042051 635993194 679156167 748056068 905541556 953989791 1122084102 1271986388 1358312334 1907979582 2244168204 2716624668 3553266323 3815959164 4301322391 7106532646 8602644782 10659798969 12903967173 14213065292 17205289564 21319597938 25807934346 42639195876 51615868692 81725125429 163450250858 245175376287 326900501716 490350752574 980701505148