Search a number
-
+
55005320451032 = 237231811102721397
BaseRepresentation
bin11001000000110111011001…
…00101100001001111011000
321012202110100100122022021222
430200123230211201033120
524202201344013413112
6312553032333351212
714405001055315310
oct1440335445411730
9235673310568258
1055005320451032
1116587697455216
126204496638508
13248cc96b54403
14d823b382a440
15655c344d6372
hex3206ec9613d8

55005320451032 has 128 divisors (see below), whose sum is σ = 123689779799040. Its totient is φ = 22421104611840.

The previous prime is 55005320451019. The next prime is 55005320451091. The reversal of 55005320451032 is 23015402350055.

It is a junction number, because it is equal to n+sod(n) for n = 55005320450983 and 55005320451001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2570691758 + ... + 2570713154.

It is an arithmetic number, because the mean of its divisors is an integer number (966326404680).

Almost surely, 255005320451032 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 55005320451032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61844889899520).

55005320451032 is an abundant number, since it is smaller than the sum of its proper divisors (68684459348008).

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

55005320451032 is a wasteful number, since it uses less digits than its factorization.

55005320451032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32641 (or 32637 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 55005320451032 in words is "fifty-five trillion, five billion, three hundred twenty million, four hundred fifty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 181 184 322 362 644 724 1267 1288 1448 2534 4163 5068 8326 10136 11027 16652 21397 22054 29141 33304 42794 44108 58282 77189 85588 88216 116564 149779 154378 171176 233128 253621 299558 308756 492131 507242 599116 617512 984262 1014484 1198232 1775347 1968524 1995887 2028968 3444917 3550694 3872857 3937048 3991774 6889834 7101388 7745714 7983548 13779668 13971209 14202776 15491428 15967096 27109999 27559336 27942418 30982856 45905401 54219998 55884836 89075711 91810802 108439996 111769672 178151422 183621604 216879992 235944719 321337807 356302844 367243208 471889438 623529977 642675614 712605688 943778876 1247059954 1285351228 1651613033 1887557752 2494119908 2570702456 3303226066 4988239816 5426728537 6606452132 10853457074 13212904264 21706914148 37987099759 42705994139 43413828296 75974199518 85411988278 151948399036 170823976556 298941958973 303896798072 341647953112 597883917946 982237865197 1195767835892 1964475730394 2391535671784 3928951460788 6875665056379 7857902921576 13751330112758 27502660225516 55005320451032