Search a number
-
+
101472037728376 = 23725310429468319
BaseRepresentation
bin10111000100100111001100…
…110000110111000001111000
3111022021122001210000002110111
4113010213030300313001320
5101300004213124302001
6555451335515554104
730242053455321100
oct2704471460670170
9438248053002414
10101472037728376
112a37205aa21a77
12b469b6415b934
134480a063c13a3
141b0b3b6910200
15bae7c1da6851
hex5c49ccc37078

101472037728376 has 96 divisors (see below), whose sum is σ = 225520947792000. Its totient is φ = 42663305228544.

The previous prime is 101472037728361. The next prime is 101472037728377. The reversal of 101472037728376 is 673827730274101.

It is a self number, because there is not a number n which added to its sum of digits gives 101472037728376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101472037728377) 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, 216438745 + ... + 216907063.

It is an arithmetic number, because the mean of its divisors is an integer number (2349176539500).

Almost surely, 2101472037728376 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 101472037728376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112760473896000).

101472037728376 is an abundant number, since it is smaller than the sum of its proper divisors (124048910063624).

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

101472037728376 is a wasteful number, since it uses less digits than its factorization.

101472037728376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478821 (or 478810 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 58.

The spelling of 101472037728376 in words is "one hundred one trillion, four hundred seventy-two billion, thirty-seven million, seven hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 371 392 424 742 1484 2597 2968 5194 10388 10429 20776 20858 41716 73003 83432 146006 292012 468319 511021 552737 584024 936638 1022042 1105474 1873276 2044084 2210948 3278233 3746552 3869159 4088168 4421896 6556466 7738318 13112932 15476636 22947631 24820907 26225864 27084113 30953272 45895262 49641814 54168226 91790524 99283628 108336452 173746349 183581048 198567256 216672904 347492698 694985396 1216224443 1389970792 2432448886 4864897772 4884098851 9729795544 9768197702 19536395404 34188691957 39072790808 68377383914 136754767828 239320843699 258857239103 273509535656 478641687398 517714478206 957283374796 1035428956412 1812000673721 1914566749592 2070857912824 3624001347442 7248002694884 12684004716047 14496005389768 25368009432094 50736018864188 101472037728376