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4055630365504 = 2631113160911243
BaseRepresentation
bin111011000001000110011…
…010000100001101000000
3112100201021212001002000201
4323001012122010031000
51012421412333144004
612343044133454544
7566003205212464
oct73010632041500
915321255032021
104055630365504
111323a8a67a653
125560124a1454
132355a1195083
141004177404a4
1570769cc16a4
hex3b046684340

4055630365504 has 112 divisors (see below), whose sum is σ = 8386973360640. Its totient is φ = 1943653662720.

The previous prime is 4055630365499. The next prime is 4055630365511.

4055630365504 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360719307 + ... + 360730549.

It is an arithmetic number, because the mean of its divisors is an integer number (74883690720).

Almost surely, 24055630365504 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 4055630365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193486680320).

4055630365504 is an abundant number, since it is smaller than the sum of its proper divisors (4331342995136).

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

4055630365504 is a wasteful number, since it uses less digits than its factorization.

4055630365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13008 (or 12998 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 46.

The spelling of 4055630365504 in words is "four trillion, fifty-five billion, six hundred thirty million, three hundred sixty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 113 124 226 248 452 496 904 992 1609 1808 1984 3218 3503 3616 6436 7006 7232 11243 12872 14012 22486 25744 28024 44972 49879 51488 56048 89944 99758 102976 112096 179888 181817 199516 224192 348533 359776 363634 399032 697066 719552 727268 798064 1270459 1394132 1454536 1596128 2540918 2788264 2909072 3192256 5081836 5576528 5636327 5818144 10163672 11153056 11272654 11636288 18089987 20327344 22306112 22545308 36179974 39384229 40654688 45090616 72359948 78768458 81309376 90181232 144719896 157536916 180362464 289439792 315073832 360724928 560789597 578879584 630147664 1121579194 1157759168 1260295328 2044168531 2243158388 2520590656 4088337062 4486316776 8176674124 8972633552 16353348248 17945267104 32706696496 35890534208 63369224461 65413392992 126738448922 130826785984 253476897844 506953795688 1013907591376 2027815182752 4055630365504