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29701420281 = 361324912
BaseRepresentation
bin11011101010010101…
…111011010011111001
32211122221110111000000
4123222111323103321
5441312030422111
621351124303213
72101012623021
oct335225732371
984587414000
1029701420281
111166174a735
12590ab41b09
132a54573900
14161a924a81
15b8c7eac56
hex6ea57b4f9

29701420281 has 63 divisors (see below), whose sum is σ = 48319189887. Its totient is φ = 18240571440.

The previous prime is 29701420279. The next prime is 29701420313. The reversal of 29701420281 is 18202410792.

The square root of 29701420281 is 172341.

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., 4393701225 + 25307719056 = 66285^2 + 159084^2 .

It is not a de Polignac number, because 29701420281 - 21 = 29701420279 is a prime.

It is a super-2 number, since 2×297014202812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29701420211) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 60491446 + ... + 60491936.

Almost surely, 229701420281 is an apocalyptic number.

29701420281 is the 172341-st square number.

29701420281 is the 86171-st centered octagonal number.

It is an amenable number.

29701420281 is a deficient number, since it is larger than the sum of its proper divisors (18617769606).

29701420281 is an frugal number, since it uses more digits than its factorization.

29701420281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 29701420281 by its sum of digits (36), we get a square (1069251130116 = 10340462).

The spelling of 29701420281 in words is "twenty-nine billion, seven hundred one million, four hundred twenty thousand, two hundred eighty-one".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 491 507 729 1053 1473 1521 3159 4419 4563 6383 9477 13257 13689 19149 39771 41067 57447 82979 119313 123201 172341 241081 248937 357939 517023 723243 746811 1551069 2169729 2240433 3134053 4653207 6509187 6721299 9402159 19527561 20163897 28206477 40742689 58582683 60491691 84619431 122228067 175748049 253858293 366684201 761574879 1100052603 2284724637 3300157809 9900473427 29701420281