Search a number
-
+
9741961980 = 22325449120539
BaseRepresentation
bin10010001001010101…
…01000101011111100
3221010221012221111200
421010222220223330
5124422420240410
64250404015500
7463262211342
oct110452505374
927127187450
109741961980
11414a0a1253
121a7a691590
13bc33c225a
14685b93992
153c03dc3c0
hex244aa8afc

9741961980 has 72 divisors (see below), whose sum is σ = 29616678000. Its totient is φ = 2592049152.

The previous prime is 9741961973. The next prime is 9741961997. The reversal of 9741961980 is 891691479.

9741961980 is a `hidden beast` number, since 9 + 7 + 4 + 19 + 619 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20551 + ... + 141089.

It is an arithmetic number, because the mean of its divisors is an integer number (411342750).

Almost surely, 29741961980 is an apocalyptic number.

9741961980 is a gapful number since it is divisible by the number (90) 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 9741961980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14808339000).

9741961980 is an abundant number, since it is smaller than the sum of its proper divisors (19874716020).

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

9741961980 is a wasteful number, since it uses less digits than its factorization.

9741961980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121003 (or 120998 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 9741961980 is about 98701.3778019334. The cubic root of 9741961980 is about 2135.7421073779.

The spelling of 9741961980 in words is "nine billion, seven hundred forty-one million, nine hundred sixty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 449 898 1347 1796 2245 2694 4041 4490 5388 6735 8082 8980 13470 16164 20205 26940 40410 80820 120539 241078 361617 482156 602695 723234 1084851 1205390 1446468 1808085 2169702 2410780 3616170 4339404 5424255 7232340 10848510 21697020 54122011 108244022 162366033 216488044 270610055 324732066 487098099 541220110 649464132 811830165 974196198 1082440220 1623660330 1948392396 2435490495 3247320660 4870980990 9741961980