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45544155501 = 313414359103109
BaseRepresentation
bin101010011010101001…
…001010100101101101
311100120001100211002010
4222122221022211231
51221233300434001
632531145151433
73201424635315
oct523251124555
9140501324063
1045544155501
1118351541139
1289b078b579
1343aa886350
1422c0a3a445
1512b85c98d6
hexa9aa4a96d

45544155501 has 128 divisors (see below), whose sum is σ = 71034163200. Its totient is φ = 25761576960.

The previous prime is 45544155457. The next prime is 45544155521. The reversal of 45544155501 is 10555144554.

45544155501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45544155501 - 214 = 45544139117 is a prime.

It is a super-2 number, since 2×455441555012 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 45544155501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45544155521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 417836235 + ... + 417836343.

It is an arithmetic number, because the mean of its divisors is an integer number (554954400).

Almost surely, 245544155501 is an apocalyptic number.

45544155501 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45544155501 is a deficient number, since it is larger than the sum of its proper divisors (25490007699).

45544155501 is a wasteful number, since it uses less digits than its factorization.

45544155501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 200000, while the sum is 39.

The spelling of 45544155501 in words is "forty-five billion, five hundred forty-four million, one hundred fifty-five thousand, five hundred one".

Divisors: 1 3 13 39 41 43 59 103 109 123 129 177 309 327 533 559 767 1339 1417 1599 1677 1763 2301 2419 2537 4017 4223 4251 4429 4469 4687 5289 6077 6431 7257 7611 11227 12669 13287 13407 14061 18231 19293 22919 31447 32981 33681 54899 57577 58097 60931 68757 79001 83603 94341 98943 104017 145951 164697 172731 174291 181589 182793 192167 237003 249157 250809 261311 263671 276533 312051 437853 460307 482761 544767 576501 662393 747471 783933 791013 829599 1352221 1380921 1448283 1987179 2360657 2498171 3239041 3397043 3427723 3594929 4056663 5983991 6275893 7081971 7494513 8611109 9717123 10191129 10283169 10713751 10784787 11337853 17951973 18827679 19793201 25833327 27158113 28482899 32141253 34013559 59379603 81474339 85448697 139278763 147392089 257311613 353055469 370277687 417836289 442176267 771934839 1059166407 1110833061 1167798859 3503396577 15181385167 45544155501