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41628091728 = 2432275217333
BaseRepresentation
bin100110110001001110…
…100100010101010000
310222110010121011111010
4212301032210111100
51140223242413403
631042414250520
73002403640626
oct466116442520
9128403534433
1041628091728
1116721a774a3
1280991b6a40
133c05472852
14202c8d5516
1511398d4603
hex9b13a4550

41628091728 has 80 divisors (see below), whose sum is σ = 108235054656. Its totient is φ = 13786506240.

The previous prime is 41628091727. The next prime is 41628091741. The reversal of 41628091728 is 82719082614.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41628091723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5673150 + ... + 5680482.

Almost surely, 241628091728 is an apocalyptic number.

41628091728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41628091728 is an abundant number, since it is smaller than the sum of its proper divisors (66606962928).

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

41628091728 is a wasteful number, since it uses less digits than its factorization.

41628091728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 41628091728 in words is "forty-one billion, six hundred twenty-eight million, ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 227 454 521 681 908 1042 1362 1563 1816 2084 2724 3126 3632 4168 5448 6252 7333 8336 10896 12504 14666 21999 25008 29332 43998 58664 87996 117328 118267 175992 236534 351984 354801 473068 709602 946136 1419204 1664591 1892272 2838408 3329182 3820493 4993773 5676816 6658364 7640986 9987546 11461479 13316728 15281972 19975092 22922958 26633456 30563944 39950184 45845916 61127888 79900368 91691832 183383664 867251911 1734503822 2601755733 3469007644 5203511466 6938015288 10407022932 13876030576 20814045864 41628091728