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37427990166 = 2337237612
BaseRepresentation
bin100010110110111000…
…011100111010010110
310120121102100220022000
4202312320130322112
51103123031141131
625105535420130
72463333444600
oct426670347226
9116542326260
1037427990166
1114967140a86
127306684646
1336b625c858
141b50b74170
15e90cd4ce6
hex8b6e1ce96

37427990166 has 72 divisors (see below), whose sum is σ = 96778359720. Its totient is φ = 10690868160.

The previous prime is 37427990153. The next prime is 37427990191. The reversal of 37427990166 is 66109972473.

It is a happy number.

37427990166 is a `hidden beast` number, since 374 + 27 + 9 + 90 + 166 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 9949726 + ... + 9953486.

It is an arithmetic number, because the mean of its divisors is an integer number (1344143885).

Almost surely, 237427990166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37427990166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48389179860).

37427990166 is an abundant number, since it is smaller than the sum of its proper divisors (59350369554).

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

37427990166 is an frugal number, since it uses more digits than its factorization.

37427990166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7547 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

Multiplying 37427990166 by its sum of digits (54), we get a square (2021111468964 = 14216582).

37427990166 divided by its sum of digits (54) gives a square (693110929 = 263272).

The spelling of 37427990166 in words is "thirty-seven billion, four hundred twenty-seven million, nine hundred ninety thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 3761 7522 11283 22566 26327 33849 52654 67698 78981 101547 157962 184289 203094 236943 368578 473886 552867 710829 1105734 1421658 1658601 3317202 4975803 9951606 14145121 28290242 42435363 84870726 99015847 127306089 198031694 254612178 297047541 381918267 594095082 693110929 763836534 891142623 1386221858 1782285246 2079332787 2673427869 4158665574 5346855738 6237998361 12475996722 18713995083 37427990166