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58063681000 = 2353139914507
BaseRepresentation
bin110110000100110111…
…010111010111101000
312112212120001121102201
4312010313113113220
51422403300243000
642401334105544
74123605100543
oct660467272750
9175776047381
1058063681000
1122696485a26
12b3054ab2b4
13562454b3c0
142b4b65385a
15179c76d96a
hexd84dd75e8

58063681000 has 128 divisors (see below), whose sum is σ = 146500623360. Its totient is φ = 21412512000.

The previous prime is 58063680979. The next prime is 58063681001. The reversal of 58063681000 is 18636085.

It is a super-2 number, since 2×580636810002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58063681001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12880747 + ... + 12885253.

It is an arithmetic number, because the mean of its divisors is an integer number (1144536120).

Almost surely, 258063681000 is an apocalyptic number.

58063681000 is a gapful number since it is divisible by the number (50) 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 58063681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73250311680).

58063681000 is an abundant number, since it is smaller than the sum of its proper divisors (88436942360).

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

58063681000 is a wasteful number, since it uses less digits than its factorization.

58063681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5532 (or 5518 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 58063681000 in words is "fifty-eight billion, sixty-three million, six hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 991 1000 1300 1625 1982 2600 3250 3964 4507 4955 6500 7928 9014 9910 12883 13000 18028 19820 22535 24775 25766 36056 39640 45070 49550 51532 58591 64415 90140 99100 103064 112675 117182 123875 128830 180280 198200 225350 234364 247750 257660 292955 322075 450700 468728 495500 515320 563375 585910 644150 901400 991000 1126750 1171820 1288300 1464775 1610375 2253500 2343640 2576600 2929550 3220750 4466437 4507000 5859100 6441500 7323875 8932874 11718200 12883000 14647750 17865748 22332185 29295500 35731496 44664370 58063681 58591000 89328740 111660925 116127362 178657480 223321850 232254724 290318405 446643700 464509448 558304625 580636810 893287400 1116609250 1161273620 1451592025 2233218500 2322547240 2903184050 4466437000 5806368100 7257960125 11612736200 14515920250 29031840500 58063681000