Search a number
-
+
29976896409516 = 22327118955938133
BaseRepresentation
bin1101101000011100010100…
…10000110000111110101100
310221010202121110012202110200
412310032022100300332230
512412120140440101031
6143431110205033500
76212521303201440
oct664161220607654
9127122543182420
1029976896409516
119608148588621
123441881b55890
131395a69a80254
14758c64c14820
1536eb7b8558e6
hex1b438a430fac

29976896409516 has 36 divisors (see below), whose sum is σ = 86599922961552. Its totient is φ = 8564827545504.

The previous prime is 29976896409503. The next prime is 29976896409527. The reversal of 29976896409516 is 61590469867992.

29976896409516 is a `hidden beast` number, since 2 + 9 + 9 + 7 + 6 + 8 + 96 + 4 + 0 + 9 + 516 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×299768964095162 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59477968815 + ... + 59477969318.

Almost surely, 229976896409516 is an apocalyptic number.

It is an amenable number.

29976896409516 is an abundant number, since it is smaller than the sum of its proper divisors (56623026552036).

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

29976896409516 is a wasteful number, since it uses less digits than its factorization.

29976896409516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118955938150 (or 118955938145 counting only the distinct ones).

The product of its (nonzero) digits is 3174474240, while the sum is 81.

The spelling of 29976896409516 in words is "twenty-nine trillion, nine hundred seventy-six billion, eight hundred ninety-six million, four hundred nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 118955938133 237911876266 356867814399 475823752532 713735628798 832691566931 1070603443197 1427471257596 1665383133862 2141206886394 2498074700793 3330766267724 4282413772788 4996149401586 7494224102379 9992298803172 14988448204758 29976896409516