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4551120252 = 22327178631231
BaseRepresentation
bin1000011110100010…
…01001010101111100
3102202011201212022100
410033101021111330
533310041322002
62031334145100
7220531612110
oct41721112574
912664655270
104551120252
111a25a97008
12a701b2190
13576b64a83
14312615740
151b983a11c
hex10f44957c

4551120252 has 144 divisors (see below), whose sum is σ = 13948526592. Its totient is φ = 1221419520.

The previous prime is 4551120241. The next prime is 4551120281. The reversal of 4551120252 is 2520211554.

4551120252 is a `hidden beast` number, since 455 + 1 + 1 + 202 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3696477 + ... + 3697707.

It is an arithmetic number, because the mean of its divisors is an integer number (96864768).

Almost surely, 24551120252 is an apocalyptic number.

4551120252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4551120252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974263296).

4551120252 is an abundant number, since it is smaller than the sum of its proper divisors (9397406340).

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

4551120252 is a wasteful number, since it uses less digits than its factorization.

4551120252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 4551120252 is about 67461.9911653962. The cubic root of 4551120252 is about 1657.1917793283.

The spelling of 4551120252 in words is "four billion, five hundred fifty-one million, one hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 863 1071 1231 1428 1726 2142 2462 2589 3452 3693 4284 4924 5178 6041 7386 7767 8617 10356 11079 12082 14671 14772 15534 17234 18123 20927 22158 24164 25851 29342 31068 34468 36246 41854 44013 44316 51702 54369 58684 62781 72492 77553 83708 88026 102697 103404 108738 125562 132039 146489 155106 176052 188343 205394 217476 251124 264078 292978 308091 310212 376686 410788 439467 528156 585956 616182 753372 878934 924273 1062353 1232364 1318401 1757868 1848546 2124706 2636802 3187059 3697092 4249412 5273604 6374118 7436471 9561177 12748236 14872942 18060001 19122354 22309413 29745884 36120002 38244708 44618826 54180003 66928239 72240004 89237652 108360006 126420007 133856478 162540009 216720012 252840014 267712956 325080018 379260021 505680028 650160036 758520042 1137780063 1517040084 2275560126 4551120252