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41916913632 = 25321114988801
BaseRepresentation
bin100111000010011100…
…010101011111100000
311000012021001211122200
4213002130111133200
51141321212214012
631131212533200
73012511613166
oct470234253740
9130167054580
1041916913632
1116860006690
128159a81200
133c50258799
142058dd9236
151154e363dc
hex9c27157e0

41916913632 has 144 divisors (see below), whose sum is σ = 130911908400. Its totient is φ = 12616704000.

The previous prime is 41916913607. The next prime is 41916913637. The reversal of 41916913632 is 23631961914.

41916913632 is a `hidden beast` number, since 4 + 1 + 9 + 1 + 6 + 9 + 1 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41916913637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427632 + ... + 516432.

It is an arithmetic number, because the mean of its divisors is an integer number (909110475).

Almost surely, 241916913632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41916913632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65455954200).

41916913632 is an abundant number, since it is smaller than the sum of its proper divisors (88994994768).

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

41916913632 is a wasteful number, since it uses less digits than its factorization.

41916913632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88977 (or 88966 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 41916913632 in words is "forty-one billion, nine hundred sixteen million, nine hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 149 176 198 264 288 298 352 396 447 528 596 792 894 1056 1192 1341 1584 1639 1788 2384 2682 3168 3278 3576 4768 4917 5364 6556 7152 9834 10728 13112 14304 14751 19668 21456 26224 29502 39336 42912 52448 59004 78672 88801 118008 157344 177602 236016 266403 355204 472032 532806 710408 799209 976811 1065612 1420816 1598418 1953622 2131224 2841632 2930433 3196836 3907244 4262448 5860866 6393672 7814488 8524896 8791299 11721732 12787344 13231349 15628976 17582598 23443464 25574688 26462698 31257952 35165196 39694047 46886928 52925396 70330392 79388094 93773856 105850792 119082141 140660784 145544839 158776188 211701584 238164282 281321568 291089678 317552376 423403168 436634517 476328564 582179356 635104752 873269034 952657128 1164358712 1270209504 1309903551 1746538068 1905314256 2328717424 2619807102 3493076136 3810628512 4657434848 5239614204 6986152272 10479228408 13972304544 20958456816 41916913632