Search a number
-
+
154545004051002 = 2331031391149717387
BaseRepresentation
bin100011001000111011010000…
…000100010111101000111010
3202021012100200001102212121000
4203020323100010113220322
5130224031132014113002
61304404554510225430
744360336161566015
oct4310732004275072
9667170601385530
10154545004051002
1145274193896a04
12153bba351b5276
1368306ba4b1396
142a2403798437c
1512d010beab61c
hex8c8ed0117a3a

154545004051002 has 128 divisors (see below), whose sum is σ = 349312845772800. Its totient is φ = 50640524327808.

The previous prime is 154545004050929. The next prime is 154545004051003. The reversal of 154545004051002 is 200150400545451.

154545004051002 is a `hidden beast` number, since 1 + 5 + 4 + 5 + 4 + 500 + 40 + 5 + 100 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (154545004051003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8888528953 + ... + 8888546339.

It is an arithmetic number, because the mean of its divisors is an integer number (2729006607600).

Almost surely, 2154545004051002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154545004051002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174656422886400).

154545004051002 is an abundant number, since it is smaller than the sum of its proper divisors (194767841721798).

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

154545004051002 is a wasteful number, since it uses less digits than its factorization.

154545004051002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29137 (or 29131 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 154545004051002 its reverse (200150400545451), we get a palindrome (354695404596453).

The spelling of 154545004051002 in words is "one hundred fifty-four trillion, five hundred forty-five billion, four million, fifty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 103 139 206 278 309 417 618 834 927 1251 1854 2502 2781 3753 5562 7506 11497 14317 17387 22994 28634 34491 34774 42951 52161 68982 85902 103473 104322 128853 156483 206946 257706 310419 312966 386559 469449 620838 773118 938898 1184191 1598083 1790861 2368382 2416793 3196166 3552573 3581722 4794249 4833586 5372583 7105146 7250379 9588498 10657719 10745166 14382747 14500758 16117749 21315438 21751137 28765494 31973157 32235498 43148241 43502274 48353247 63946314 65253411 86296482 96706494 130506822 164602549 199898339 248929679 329205098 399796678 493807647 497859358 599695017 746789037 987615294 1199390034 1481422941 1493578074 1799085051 2240367111 2962845882 3598170102 4444268823 4480734222 5397255153 6721101333 8888537646 10794510306 13442202666 20589528917 27785869121 41179057834 55571738242 61768586751 83357607363 123537173502 166715214726 185305760253 250072822089 370611520506 500145644178 555917280759 750218466267 1111834561518 1500436932534 2861944519463 5723889038926 8585833558389 17171667116778 25757500675167 51515001350334 77272502025501 154545004051002