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3455020432332 = 2233721298350287
BaseRepresentation
bin110010010001101111010…
…000111111101111001100
3110020022000022111012112000
4302101233100333233030
5423101340212313312
611203114154312300
7504421425054600
oct62215720775714
913208008435460
103455020432332
1111122a1a64257
12479733428690
131c0a65071981
14bd31c489500
155ed16622adc
hex3246f43fbcc

3455020432332 has 144 divisors (see below), whose sum is σ = 10420912696320. Its totient is φ = 987053032224.

The previous prime is 3455020432231. The next prime is 3455020432361. The reversal of 3455020432332 is 2332340205543.

It is a happy number.

3455020432332 is a `hidden beast` number, since 3 + 45 + 50 + 204 + 32 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68680893 + ... + 68731179.

It is an arithmetic number, because the mean of its divisors is an integer number (72367449280).

Almost surely, 23455020432332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455020432332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210456348160).

3455020432332 is an abundant number, since it is smaller than the sum of its proper divisors (6965892263988).

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

3455020432332 is a wasteful number, since it uses less digits than its factorization.

3455020432332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63297 (or 63282 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 3455020432332 its reverse (2332340205543), we get a palindrome (5787360637875).

The spelling of 3455020432332 in words is "three trillion, four hundred fifty-five billion, twenty million, four hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 12983 25966 38949 50287 51932 77898 90881 100574 116847 150861 155796 181762 201148 233694 272643 301722 350541 352009 363524 452583 467388 545286 603444 636167 701082 704018 817929 905166 1056027 1090572 1272334 1357749 1402164 1408036 1635858 1810332 1908501 2112054 2453787 2464063 2544668 2715498 3168081 3271716 3817002 4224108 4907574 4928126 5430996 5725503 6336162 7392189 7634004 9504243 9815148 9856252 11451006 12672324 14784378 17176509 19008486 22176567 22902012 29568756 34353018 38016972 44353134 66529701 68706036 88706268 133059402 266118804 652876121 1305752242 1958628363 2611504484 3917256726 4570132847 5875885089 7834513452 9140265694 11751770178 13710398541 17627655267 18280531388 23503540356 27420797082 31990929929 35255310534 41131195623 54841594164 63981859858 70510621068 82262391246 95972789787 123393586869 127963719716 164524782492 191945579574 246787173738 287918369361 383891159148 493574347476 575836738722 863755108083 1151673477444 1727510216166 3455020432332