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4200452554545 = 345131722760577
BaseRepresentation
bin111101000111111110011…
…110110111111100110001
3112212120002202112112120000
4331013332132313330301
51022310011323221140
612533354455540213
7612321062416122
oct75077636677461
915776082475500
104200452554545
11137a446a63795
1257a0ab08a669
13246140aca260
14107435586049
15743e4024a30
hex3d1fe7b7f31

4200452554545 has 120 divisors (see below), whose sum is σ = 8613964041144. Its totient is φ = 1946272333824.

The previous prime is 4200452554517. The next prime is 4200452554561. The reversal of 4200452554545 is 5454552540024.

4200452554545 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 4 + 52 + 5 + 54 + 545 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 140114713761 + 4060337840784 = 374319^2 + 2015028^2 .

It is not a de Polignac number, because 4200452554545 - 221 = 4200450457393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4200452554545.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 141297 + ... + 2901873.

Almost surely, 24200452554545 is an apocalyptic number.

4200452554545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4200452554545 is an abundant number, since it is smaller than the sum of its proper divisors (4413511486599).

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

4200452554545 is a wasteful number, since it uses less digits than its factorization.

4200452554545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760641 (or 2760615 counting only the distinct ones).

The product of its (nonzero) digits is 3200000, while the sum is 45.

The spelling of 4200452554545 in words is "four trillion, two hundred billion, four hundred fifty-two million, five hundred fifty-four thousand, five hundred forty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 255 289 351 405 459 585 663 765 867 1053 1105 1377 1445 1755 1989 2295 2601 3315 3757 4335 5265 5967 6885 7803 9945 11271 13005 17901 18785 23409 29835 33813 39015 56355 89505 101439 117045 169065 304317 507195 1521585 2760577 8281731 13802885 24845193 35887501 41408655 46929809 74535579 107662503 124225965 140789427 179437505 223606737 234649045 322987509 372677895 422368281 538312515 610087517 703947135 797806753 968962527 1118033685 1267104843 1614937545 1830262551 2111841405 2393420259 2906887581 3050437585 3801314529 3989033765 4844812635 5490787653 6335524215 7180260777 9151312755 10371487789 11967101295 14534437905 16472362959 19006572645 21540782331 27453938265 31114463367 35901303885 49417088877 51857438945 64622346993 82361814795 93343390101 107703911655 155572316835 247085444385 280030170303 323111734965 466716950505 840090510909 1400150851515 4200452554545