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9980977552 = 2471319794567
BaseRepresentation
bin10010100101110100…
…11010000110010000
3221202120222012020021
421102322122012100
5130420112240202
64330222553224
7502223623630
oct112272320620
927676865207
109980977552
114262002187
121b26738814
13c30a89ca0
146a98106c0
153d63a1a37
hex252e9a190

9980977552 has 160 divisors (see below), whose sum is σ = 25376153600. Its totient is φ = 3692542464.

The previous prime is 9980977547. The next prime is 9980977553. The reversal of 9980977552 is 2557790899.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9980977553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2183173 + ... + 2187739.

It is an arithmetic number, because the mean of its divisors is an integer number (158600960).

Almost surely, 29980977552 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 9980977552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12688076800).

9980977552 is an abundant number, since it is smaller than the sum of its proper divisors (15395176048).

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

9980977552 is a wasteful number, since it uses less digits than its factorization.

9980977552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 61.

The square root of 9980977552 is about 99904.8424852369. The cubic root of 9980977552 is about 2153.0677355091.

The spelling of 9980977552 in words is "nine billion, nine hundred eighty million, nine hundred seventy-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 79 91 104 112 133 152 158 182 208 247 266 304 316 364 494 532 553 632 728 988 1027 1064 1106 1264 1456 1501 1729 1976 2054 2128 2212 3002 3458 3952 4108 4424 4567 6004 6916 7189 8216 8848 9134 10507 12008 13832 14378 16432 18268 19513 21014 24016 27664 28756 31969 36536 39026 42028 57512 59371 63938 73072 78052 84056 86773 115024 118742 127876 136591 156104 168112 173546 237484 255752 273182 312208 347092 360793 415597 474968 511504 546364 607411 694184 721586 831194 949936 1092728 1128049 1214822 1388368 1443172 1662388 2185456 2256098 2429644 2525551 2886344 3324776 4512196 4690309 4859288 5051102 5772688 6649552 6855067 7896343 9024392 9380618 9718576 10102204 13710134 15792686 18048784 18761236 20204408 27420268 31585372 32832163 37522472 40408816 47985469 54840536 63170744 65664326 75044944 89115871 95970938 109681072 126341488 131328652 178231742 191941876 262657304 356463484 383883752 525314608 623811097 712926968 767767504 1247622194 1425853936 2495244388 4990488776 9980977552