Search a number
-
+
1983101974425 = 355211132399251
BaseRepresentation
bin11100110110111010000…
…101101011011110011001
321000120201210020012200000
4130312322011223132121
5224442343101140200
64115005141403213
7263163054441255
oct34667205533631
97016653205600
101983101974425
116a50354020a0
12280408a09509
1311500c726380
146bda8557265
15368b974a300
hex1cdba16b799

1983101974425 has 288 divisors, whose sum is σ = 4515676978176. Its totient is φ = 848944800000.

The previous prime is 1983101974417. The next prime is 1983101974537. The reversal of 1983101974425 is 5244791013891.

1983101974425 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 1 + 0 + 197 + 442 + 5 = 666.

It is not a de Polignac number, because 1983101974425 - 23 = 1983101974417 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19931050 + ... + 20030300.

It is an arithmetic number, because the mean of its divisors is an integer number (15679433952).

Almost surely, 21983101974425 is an apocalyptic number.

1983101974425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1983101974425 is an abundant number, since it is smaller than the sum of its proper divisors (2532575003751).

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

1983101974425 is a wasteful number, since it uses less digits than its factorization.

1983101974425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99323 (or 99306 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1983101974425 in words is "one trillion, nine hundred eighty-three billion, one hundred one million, nine hundred seventy-four thousand, four hundred twenty-five".