Search a number
-
+
21501527005056 = 273737216191351
BaseRepresentation
bin1001110001110001101101…
…11000010001011110000000
32211010112012101102112112010
410320320312320101132000
510304240111403130211
6113421355400532520
74346301612001140
oct470706670213600
984115171375463
1021501527005056
11693a8234a597a
1224b3181a81140
13bcc77bb86317
1454497261a920
152744863114a6
hex138e36e11780

21501527005056 has 128 divisors (see below), whose sum is σ = 67036614428160. Its totient is φ = 5977258444800.

The previous prime is 21501527005051. The next prime is 21501527005061. The reversal of 21501527005056 is 65050072510512.

It is an interprime number because it is at equal distance from previous prime (21501527005051) and next prime (21501527005061).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21501527005051) 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, 107996220 + ... + 108195131.

It is an arithmetic number, because the mean of its divisors is an integer number (523723550220).

Almost surely, 221501527005056 is an apocalyptic number.

It is an amenable number.

21501527005056 is an abundant number, since it is smaller than the sum of its proper divisors (45535087423104).

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

21501527005056 is a wasteful number, since it uses less digits than its factorization.

21501527005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216191412 (or 216191400 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 39.

Adding to 21501527005056 its reverse (65050072510512), we get a palindrome (86551599515568).

The spelling of 21501527005056 in words is "twenty-one trillion, five hundred one billion, five hundred twenty-seven million, five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 259 296 336 384 444 448 518 592 672 777 888 896 1036 1184 1344 1554 1776 2072 2368 2688 3108 3552 4144 4736 6216 7104 8288 12432 14208 16576 24864 33152 49728 99456 216191351 432382702 648574053 864765404 1297148106 1513339457 1729530808 2594296212 3026678914 3459061616 4540018371 5188592424 6053357828 6918123232 7999079987 9080036742 10377184848 12106715656 13836246464 15998159974 18160073484 20754369696 23997239961 24213431312 27672492928 31996319948 36320146968 41508739392 47994479922 48426862624 55993559909 63992639896 72640293936 83017478784 95988959844 96853725248 111987119818 127985279792 145280587872 167980679727 191977919688 193707450496 223974239636 255970559584 290561175744 335961359454 383955839376 447948479272 511941119168 581122351488 671922718908 767911678752 895896958544 1023882238336 1343845437816 1535823357504 1791793917088 2687690875632 3071646715008 3583587834176 5375381751264 7167175668352 10750763502528 21501527005056