Search a number
-
+
2972718485664 = 253281659167221
BaseRepresentation
bin101011010000100011110…
…101000101000010100000
3101112012002212021202100020
4223100203311011002200
5342201111413020124
610153351545553440
7424525510132314
oct53204365050240
911465085252306
102972718485664
11a467a50a5214
124001714a5880
13187431724605
14a3c47933b44
15524d9602379
hex2b423d450a0

2972718485664 has 96 divisors (see below), whose sum is σ = 7843086377280. Its totient is φ = 985875609600.

The previous prime is 2972718485599. The next prime is 2972718485713. The reversal of 2972718485664 is 4665848172792.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17693574 + ... + 17860794.

It is an arithmetic number, because the mean of its divisors is an integer number (81698816430).

Almost surely, 22972718485664 is an apocalyptic number.

2972718485664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2972718485664 is an abundant number, since it is smaller than the sum of its proper divisors (4870367891616).

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

2972718485664 is a wasteful number, since it uses less digits than its factorization.

2972718485664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168174 (or 168166 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 69.

The spelling of 2972718485664 in words is "two trillion, nine hundred seventy-two billion, seven hundred eighteen million, four hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 281 562 659 843 1124 1318 1686 1977 2248 2636 3372 3954 4496 5272 6744 7908 8992 10544 13488 15816 21088 26976 31632 63264 167221 185179 334442 370358 501663 555537 668884 740716 1003326 1111074 1337768 1481432 2006652 2222148 2675536 2962864 4013304 4444296 5351072 5925728 8026608 8888592 16053216 17777184 46989101 93978202 110198639 140967303 187956404 220397278 281934606 330595917 375912808 440794556 563869212 661191834 751825616 881589112 1127738424 1322383668 1503651232 1763178224 2255476848 2644767336 3526356448 4510953696 5289534672 10579069344 30965817559 61931635118 92897452677 123863270236 185794905354 247726540472 371589810708 495453080944 743179621416 990906161888 1486359242832 2972718485664