Search a number
-
+
104178477216 = 25311711389491
BaseRepresentation
bin110000100000110000…
…1010110100010100000
3100221220101011222102010
41201001201112202200
53201324142232331
6115505310152520
710345432305552
oct1410141264240
9327811158363
10104178477216
1140200041960
12182351b2740
139a933c0b78
145083d934d2
152a9aeb6e46
hex18418568a0

104178477216 has 96 divisors (see below), whose sum is σ = 302531314176. Its totient is φ = 31124576000.

The previous prime is 104178477211. The next prime is 104178477259. The reversal of 104178477216 is 612774871401.

104178477216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1041784772162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (104178477211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619770 + ... + 769721.

It is an arithmetic number, because the mean of its divisors is an integer number (3151367856).

Almost surely, 2104178477216 is an apocalyptic number.

104178477216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104178477216 is an abundant number, since it is smaller than the sum of its proper divisors (198352836960).

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

104178477216 is a wasteful number, since it uses less digits than its factorization.

104178477216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389586 (or 1389578 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The spelling of 104178477216 in words is "one hundred four billion, one hundred seventy-eight million, four hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 284 352 426 528 568 781 852 1056 1136 1562 1704 2272 2343 3124 3408 4686 6248 6816 9372 12496 18744 24992 37488 74976 1389491 2778982 4168473 5557964 8336946 11115928 15284401 16673892 22231856 30568802 33347784 44463712 45853203 61137604 66695568 91706406 98653861 122275208 133391136 183412812 197307722 244550416 295961583 366825624 394615444 489100832 591923166 733651248 789230888 1085192471 1183846332 1467302496 1578461776 2170384942 2367692664 3156923552 3255577413 4340769884 4735385328 6511154826 8681539768 9470770656 13022309652 17363079536 26044619304 34726159072 52089238608 104178477216