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37342041472 = 2711314917327
BaseRepresentation
bin100010110001110000…
…100101010110000000
310120101102122020212001
4202301300211112000
51102434030311342
625053225313344
72461241054401
oct426160452600
9116342566761
1037342041472
11149226774aa
1272a1935854
1336a14c8938
141b4359d9a8
15e884a88b7
hex8b1c25580

37342041472 has 64 divisors (see below), whose sum is σ = 75558744000. Its totient is φ = 18380529664.

The previous prime is 37342041469. The next prime is 37342041497. The reversal of 37342041472 is 27414024373.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×373420414722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2146473 + ... + 2163799.

It is an arithmetic number, because the mean of its divisors is an integer number (1180605375).

Almost surely, 237342041472 is an apocalyptic number.

37342041472 is a gapful number since it is divisible by the number (32) 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 37342041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37779372000).

37342041472 is an abundant number, since it is smaller than the sum of its proper divisors (38216702528).

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

37342041472 is a wasteful number, since it uses less digits than its factorization.

37342041472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17603 (or 17591 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 37.

The spelling of 37342041472 in words is "thirty-seven billion, three hundred forty-two million, forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 113 128 149 226 298 452 596 904 1192 1808 2384 3616 4768 7232 9536 14464 16837 17327 19072 33674 34654 67348 69308 134696 138616 269392 277232 538784 554464 1077568 1108928 1957951 2155136 2217856 2581723 3915902 5163446 7831804 10326892 15663608 20653784 31327216 41307568 62654432 82615136 125308864 165230272 250617728 291734699 330460544 583469398 1166938796 2333877592 4667755184 9335510368 18671020736 37342041472