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37421354916 = 22341129772
BaseRepresentation
bin100010110110011111…
…001000111110100100
310120120221212210110000
4202312133020332210
51103114331324131
625105141301300
72463223161051
oct426637107644
9116527783400
1037421354916
1114963419900
127304404830
1336b4a7867a
141b4dd28028
15e90423ce6
hex8b67c8fa4

37421354916 has 135 divisors (see below), whose sum is σ = 107638819057. Its totient is φ = 11328197760.

The previous prime is 37421354909. The next prime is 37421354933. The reversal of 37421354916 is 61945312473.

The square root of 37421354916 is 193446.

It is a perfect power (a square), and thus also a powerful number.

37421354916 is a `hidden beast` number, since 3 + 74 + 21 + 3 + 549 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35010152100 + 2411202816 = 187110^2 + 49104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38301820 + ... + 38302796.

Almost surely, 237421354916 is an apocalyptic number.

37421354916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

37421354916 is the 193446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37421354916

37421354916 is an abundant number, since it is smaller than the sum of its proper divisors (70217464141).

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

37421354916 is an equidigital number, since it uses as much as digits as its factorization.

37421354916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 993 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 37421354916 in words is "thirty-seven billion, four hundred twenty-one million, three hundred fifty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 977 1089 1188 1452 1782 1954 2178 2931 3267 3564 3908 4356 5862 6534 8793 9801 10747 11724 13068 17586 19602 21494 26379 32241 35172 39204 42988 52758 64482 79137 96723 105516 118217 128964 158274 193446 236434 290169 316548 354651 386892 472868 580338 709302 870507 954529 1063953 1160676 1418604 1741014 1909058 2127906 2863587 3191859 3482028 3818116 4255812 5727174 6383718 8590761 9575577 10499819 11454348 12767436 17181522 19151154 20999638 25772283 31499457 34363044 38302308 41999276 51544566 62998914 77316849 94498371 103089132 115498009 125997828 154633698 188996742 230996018 283495113 309267396 346494027 377993484 461992036 566990226 692988054 850485339 1039482081 1133980452 1385976108 1700970678 2078964162 3118446243 3401941356 4157928324 6236892486 9355338729 12473784972 18710677458 37421354916