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41631789408 = 253111076072
BaseRepresentation
bin100110110001011100…
…101011000101100000
310222110101120000202020
4212301130223011200
51140230214230113
631043025421440
73002450241216
oct466134530540
9128411500666
1041631789408
1116724072630
12809a49a880
133c06168921
14202d1b8cb6
151139db5023
hex9b172b160

41631789408 has 144 divisors (see below), whose sum is σ = 120531063744. Its totient is φ = 12477200640.

The previous prime is 41631789373. The next prime is 41631789427. The reversal of 41631789408 is 80498713614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68585841 + ... + 68586447.

It is an arithmetic number, because the mean of its divisors is an integer number (837021276).

Almost surely, 241631789408 is an apocalyptic number.

41631789408 is a gapful number since it is divisible by the number (48) 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 41631789408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60265531872).

41631789408 is an abundant number, since it is smaller than the sum of its proper divisors (78899274336).

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

41631789408 is a wasteful number, since it uses less digits than its factorization.

41631789408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 41631789408 in words is "forty-one billion, six hundred thirty-one million, seven hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 107 132 176 214 264 321 352 428 528 607 642 856 1056 1177 1214 1284 1712 1821 2354 2428 2568 3424 3531 3642 4708 4856 5136 6677 7062 7284 9416 9712 10272 13354 14124 14568 18832 19424 20031 26708 28248 29136 37664 40062 53416 56496 58272 64949 80124 106832 112992 129898 160248 194847 213664 259796 320496 368449 389694 519592 640992 714439 736898 779388 1039184 1105347 1428878 1473796 1558776 2078368 2143317 2210694 2857756 2947592 3117552 4052939 4286634 4421388 5715512 5895184 6235104 8105878 8573268 8842776 11431024 11790368 12158817 16211756 17146536 17685552 22862048 24317634 32423512 34293072 35371104 39424043 48635268 64847024 68586144 78848086 97270536 118272129 129694048 157696172 194541072 236544258 315392344 389082144 433664473 473088516 630784688 867328946 946177032 1261569376 1300993419 1734657892 1892354064 2601986838 3469315784 3784708128 5203973676 6938631568 10407947352 13877263136 20815894704 41631789408