Search a number
-
+
468737898204156 = 223723415917511213
BaseRepresentation
bin110101010010100001000101…
…1111010100100101111111100
32021110122220110001200200100020
41222211002023322210233330
5442414300203420013111
64340531115004532140
7200506124041221060
oct15245021372445774
92243586401620306
10468737898204156
11126399698623309
12446a4665851050
1317171a429434a9
1483a706ccd9aa0
15392ce35e16906
hex1aa508bea4bfc

468737898204156 has 96 divisors (see below), whose sum is σ = 1336126692031488. Its totient is φ = 124977836797440.

The previous prime is 468737898204119. The next prime is 468737898204167. The reversal of 468737898204156 is 651402898737864.

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, 2958676395 + ... + 2958834818.

It is an arithmetic number, because the mean of its divisors is an integer number (13917986375328).

It is a 2-persistent number, because it is pandigital, and so is 2⋅468737898204156 = 937475796408312, but 3⋅468737898204156 = 1406213694612468 is not.

Almost surely, 2468737898204156 is an apocalyptic number.

468737898204156 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

468737898204156 is an abundant number, since it is smaller than the sum of its proper divisors (867388793827332).

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

468737898204156 is a wasteful number, since it uses less digits than its factorization.

468737898204156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917511291 (or 5917511289 counting only the distinct ones).

The product of its (nonzero) digits is 3901685760, while the sum is 78.

The spelling of 468737898204156 in words is "four hundred sixty-eight trillion, seven hundred thirty-seven billion, eight hundred ninety-eight million, two hundred four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 41 42 46 69 82 84 92 123 138 161 164 246 276 287 322 483 492 574 644 861 943 966 1148 1722 1886 1932 2829 3444 3772 5658 6601 11316 13202 19803 26404 39606 79212 5917511213 11835022426 17752533639 23670044852 35505067278 41422578491 71010134556 82845156982 124267735473 136102757899 165690313964 242617959733 248535470946 272205515798 408308273697 485235919466 497070941892 544411031596 727853879199 816616547394 952719305293 970471838932 1455707758398 1633233094788 1698325718131 1905438610586 2858157915879 2911415516796 3396651436262 3810877221172 5094977154393 5580213073859 5716315831758 6793302872524 10189954308786 11160426147718 11432631663516 16740639221577 20379908617572 22320852295436 33481278443154 39061491517013 66962556886308 78122983034026 117184474551039 156245966068052 234368949102078 468737898204156