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29862950481 = 34721322112
BaseRepresentation
bin11011110011111110…
…000111011001010001
32212002012102001210000
4123303332013121101
5442124403403411
621415134400213
72105013614400
oct336376073121
985065361700
1029862950481
1111734947771
125955060069
132a7bb7ba00
141634171637
15b9baa6956
hex6f3f87651

29862950481 has 135 divisors (see below), whose sum is σ = 56459800683. Its totient is φ = 15677232480.

The previous prime is 29862950471. The next prime is 29862950489. The reversal of 29862950481 is 18405926892.

It is a happy number.

The square root of 29862950481 is 172809.

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

29862950481 is a `hidden beast` number, since 2 + 9 + 8 + 629 + 5 + 0 + 4 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4417596225 + 25445354256 = 66465^2 + 159516^2 .

It is not a de Polignac number, because 29862950481 - 211 = 29862948433 is a prime.

It is a super-2 number, since 2×298629504812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29862950489) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 141530466 + ... + 141530676.

Almost surely, 229862950481 is an apocalyptic number.

29862950481 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

29862950481 is the 172809-th square number.

29862950481 is the 86405-th centered octagonal number.

It is an amenable number.

29862950481 is a deficient number, since it is larger than the sum of its proper divisors (26596850202).

29862950481 is an equidigital number, since it uses as much as digits as its factorization.

29862950481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 29862950481 in words is "twenty-nine billion, eight hundred sixty-two million, nine hundred fifty thousand, four hundred eighty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 169 189 211 273 351 441 507 567 633 637 819 1053 1183 1323 1477 1521 1899 1911 2457 2743 3549 3969 4431 4563 5697 5733 7371 8229 8281 10339 10647 13293 13689 17091 17199 19201 24687 24843 31017 31941 35659 39879 44521 51597 57603 74061 74529 93051 95823 106977 119637 133563 134407 172809 222183 223587 249613 279153 311647 320931 400689 403221 518427 578773 670761 748839 837459 934941 962793 1202067 1209663 1555281 1736319 1747291 2181529 2246517 2804823 2888379 3606201 3628989 4051411 5208957 5241873 6544587 6739551 7524049 8414469 10886967 12154233 15626871 15725619 19633761 20218653 22572147 25243407 28359877 36462699 46880613 47176857 52668343 58901283 67716441 85079631 109388097 141530571 158005029 176703849 203149323 255238893 328164291 368678401 474015087 609447969 765716679 1106035203 1422045261 2297150037 3318105609 4266135783 9954316827 29862950481