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73680305741 = 74833311117
BaseRepresentation
bin100010010011110110…
…0000011111001001101
321001011220111100020122
41010213230003321031
52201344124240431
653503120354325
75215603160000
oct1044754037115
9231156440218
1073680305741
112927a680269
12123434759a5
136c42a64063
1437cd70b537
151db3786a7b
hex1127b03e4d

73680305741 has 40 divisors (see below), whose sum is σ = 87331773984. Its totient is φ = 62149459680.

The previous prime is 73680305731. The next prime is 73680305747. The reversal of 73680305741 is 14750308637.

It is not a de Polignac number, because 73680305741 - 218 = 73680043597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73680305692 and 73680305701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73680305747) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65962115 + ... + 65963231.

Almost surely, 273680305741 is an apocalyptic number.

It is an amenable number.

73680305741 is a deficient number, since it is larger than the sum of its proper divisors (13651468243).

73680305741 is an equidigital number, since it uses as much as digits as its factorization.

73680305741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 73680305741 in words is "seventy-three billion, six hundred eighty million, three hundred five thousand, seven hundred forty-one".

Divisors: 1 7 49 83 331 343 581 1117 2317 2401 4067 7819 16219 27473 28469 54733 92711 113533 192311 199283 369727 383131 648977 794731 1346177 2588089 2681917 4542839 9423239 18116623 30687341 31799873 65962673 126816361 214811387 222599111 887714527 1503679709 10525757963 73680305741