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37364890000 = 245419332
BaseRepresentation
bin100010110011000111…
…101111100110010000
310120110000122002010211
4202303013233212100
51103010402440000
625055403133504
72461636216234
oct426307574620
9116400562124
1037364890000
1114934562989
1272a9514294
1336a6168789
141b4662a5c4
15e8a4bd7ba
hex8b31ef990

37364890000 has 75 divisors (see below), whose sum is σ = 90510959253. Its totient is φ = 14938224000.

The previous prime is 37364889937. The next prime is 37364890009. The reversal of 37364890000 is 9846373.

The square root of 37364890000 is 193300.

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

37364890000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 22347858064 + 15017031936 = 149492^2 + 122544^2 .

It is a super-2 number, since 2×373648900002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37364890009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19329034 + ... + 19330966.

Almost surely, 237364890000 is an apocalyptic number.

37364890000 is the 193300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37364890000

37364890000 is an abundant number, since it is smaller than the sum of its proper divisors (53146069253).

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

37364890000 is an frugal number, since it uses more digits than its factorization.

37364890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 37364890000 in words is "thirty-seven billion, three hundred sixty-four million, eight hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1933 2000 2500 3866 5000 7732 9665 10000 15464 19330 30928 38660 48325 77320 96650 154640 193300 241625 386600 483250 773200 966500 1208125 1933000 2416250 3736489 3866000 4832500 7472978 9665000 14945956 18682445 19330000 29891912 37364890 59783824 74729780 93412225 149459560 186824450 298919120 373648900 467061125 747297800 934122250 1494595600 1868244500 2335305625 3736489000 4670611250 7472978000 9341222500 18682445000 37364890000