Search a number
-
+
101986461948 = 22371724201123
BaseRepresentation
bin101111011111011011…
…1011110100011111100
3100202020121112001202110
41132332313132203330
53132332013240243
6114504003454020
710240214423520
oct1367667364374
9322217461673
10101986461948
113a285776398
1217923087310
139804226a07
144d16bd3d80
1529bd825e33
hex17bedde8fc

101986461948 has 72 divisors (see below), whose sum is σ = 288902895232. Its totient is φ = 27424924416.

The previous prime is 101986461947. The next prime is 101986461961. The reversal of 101986461948 is 849164689101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101986461947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2076286 + ... + 2124837.

Almost surely, 2101986461948 is an apocalyptic number.

It is an amenable number.

101986461948 is an abundant number, since it is smaller than the sum of its proper divisors (186916433284).

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

101986461948 is a wasteful number, since it uses less digits than its factorization.

101986461948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201171 (or 4201152 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The spelling of 101986461948 in words is "one hundred one billion, nine hundred eighty-six million, four hundred sixty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 578 714 867 1156 1428 1734 2023 3468 4046 6069 8092 12138 24276 4201123 8402246 12603369 16804492 25206738 29407861 50413476 58815722 71419091 88223583 117631444 142838182 176447166 214257273 285676364 352894332 428514546 499933637 857029092 999867274 1214124547 1499800911 1999734548 2428249094 2999601822 3642373641 4856498188 5999203644 7284747282 8498871829 14569494564 16997743658 25496615487 33995487316 50993230974 101986461948