Search a number
-
+
73330533333054 = 2342635843294563
BaseRepresentation
bin10000101011000110011000…
…011000111111100000111110
3100121122022220221200002210000
4100223012120120333200332
534102421413013124204
6415543325411255130
721305645655615264
oct2053063030774076
9317568827602700
1073330533333054
1121402339386148
128283b472aa4a6
1331bc06908378a
141417306a9a434
15872767272039
hex42b19863f83e

73330533333054 has 80 divisors (see below), whose sum is σ = 164968272957312. Its totient is φ = 24346319874192.

The previous prime is 73330533333053. The next prime is 73330533333073. The reversal of 73330533333054 is 45033333503337.

73330533333054 is a `hidden beast` number, since 7 + 3 + 3 + 3 + 0 + 5 + 3 + 333 + 305 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73330533333053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248799577 + ... + 249094139.

Almost surely, 273330533333054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73330533333054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82484136478656).

73330533333054 is an abundant number, since it is smaller than the sum of its proper divisors (91637739624258).

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

73330533333054 is a wasteful number, since it uses less digits than its factorization.

73330533333054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300683 (or 300674 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 45.

The spelling of 73330533333054 in words is "seventy-three trillion, three hundred thirty billion, five hundred thirty-three million, three hundred thirty-three thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 263 526 789 1578 2367 4734 5843 7101 11686 14202 17529 21303 35058 42606 52587 105174 157761 294563 315522 473283 589126 883689 946566 1536709 1767378 2651067 3073418 4610127 5302134 7953201 9220254 13830381 15906402 23859603 27660762 41491143 47719206 77470069 82982286 124473429 154940138 232410207 248946858 464820414 697230621 1394461242 1721131609 2091691863 3442263218 4183383726 5163394827 6275075589 10326789654 12550151178 15490184481 30980368962 46470553443 92941106886 139411660329 278823320658 452657613167 905315226334 1357972839501 2715945679002 4073918518503 8147837037006 12221755555509 24443511111018 36665266666527 73330533333054