Search a number
-
+
21060316079104 = 21061223512
BaseRepresentation
bin1001100100111011111001…
…01010001010010000000000
32202120100100122020012220111
410302131330222022100000
510230023011404012404
6112442550423321104
74302362160004021
oct462357452122000
982510318205814
1021060316079104
11678a6a2426995
1224417692b0194
13b99c966470c3
1452b479114c48
15267c61988104
hex13277ca8a400

21060316079104 has 99 divisors (see below), whose sum is σ = 42819758050953. Its totient is φ = 10353126912000.

The previous prime is 21060316079093. The next prime is 21060316079129. The reversal of 21060316079104 is 40197061306012.

The square root of 21060316079104 is 4589152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 684842312704 + 20375473766400 = 827552^2 + 4513920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8958023529 + ... + 8958025879.

Almost surely, 221060316079104 is an apocalyptic number.

21060316079104 is the 4589152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21060316079104

21060316079104 is an abundant number, since it is smaller than the sum of its proper divisors (21759441971849).

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

21060316079104 is an frugal number, since it uses more digits than its factorization.

21060316079104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 21060316079104 in words is "twenty-one trillion, sixty billion, three hundred sixteen million, seventy-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 2351 3721 3904 4702 7442 7808 9404 14884 15616 18808 29768 31232 37616 59536 62464 75232 119072 143411 150464 238144 286822 300928 476288 573644 601856 952576 1147288 1203712 1905152 2294576 2407424 3810304 4589152 5527201 8748071 9178304 11054402 17496142 18356608 22108804 34992284 36713216 44217608 69984568 73426432 88435216 139969136 146852864 176870432 279938272 337159261 353740864 559876544 674318522 707481728 1119753088 1348637044 1414963456 2239506176 2697274088 2829926912 4479012352 5394548176 5659853824 8958024704 10789096352 20566714921 21578192704 41133429842 43156385408 82266859684 86312770816 164533719368 172625541632 329067438736 345251083264 658134877472 1316269754944 2632539509888 5265079019776 10530158039552 21060316079104