Search a number
-
+
2708770145568 = 253127229970201
BaseRepresentation
bin100111011010101111010…
…010000100010100100000
3100120221210211220210201020
4213122233102010110200
5323340030124124233
65432220345005440
7366462564224064
oct47325722042440
910527724823636
102708770145568
11954868147673
12378b89783880
13168588973656
1495168855aa4
154a6dbeab9b3
hex276af484520

2708770145568 has 96 divisors (see below), whose sum is σ = 7197812213760. Its totient is φ = 891900979200.

The previous prime is 2708770145567. The next prime is 2708770145579. The reversal of 2708770145568 is 8655410778072.

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

It is not an unprimeable number, because it can be changed into a prime (2708770145567) 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, 2306868 + ... + 3277068.

It is an arithmetic number, because the mean of its divisors is an integer number (74977210560).

Almost surely, 22708770145568 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 2708770145568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598906106880).

2708770145568 is an abundant number, since it is smaller than the sum of its proper divisors (4489042068192).

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

2708770145568 is a wasteful number, since it uses less digits than its factorization.

2708770145568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970570 (or 970562 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 60.

The spelling of 2708770145568 in words is "two trillion, seven hundred eight billion, seven hundred seventy million, one hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 229 254 381 458 508 687 762 916 1016 1374 1524 1832 2032 2748 3048 3664 4064 5496 6096 7328 10992 12192 21984 29083 58166 87249 116332 174498 232664 348996 465328 697992 930656 970201 1395984 1940402 2791968 2910603 3880804 5821206 7761608 11642412 15523216 23284824 31046432 46569648 93139296 123215527 222176029 246431054 369646581 444352058 492862108 666528087 739293162 888704116 985724216 1333056174 1478586324 1777408232 1971448432 2666112348 2957172648 3554816464 3942896864 5332224696 5914345296 7109632928 10664449392 11828690592 21328898784 28216355683 56432711366 84649067049 112865422732 169298134098 225730845464 338596268196 451461690928 677192536392 902923381856 1354385072784 2708770145568