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42623652420 = 223251937871559
BaseRepresentation
bin100111101100100100…
…010101001001000100
311002000111220220000100
4213230210111021010
51144243123334140
631325300444100
73036153032136
oct475444251104
9132014826010
1042623652420
1117092a38a28
1283166a9630
1340337b720b
1420c4c09056
151196eda530
hex9ec915244

42623652420 has 144 divisors (see below), whose sum is σ = 130210254720. Its totient is φ = 11285803008.

The previous prime is 42623652419. The next prime is 42623652431. The reversal of 42623652420 is 2425632624.

42623652420 is a `hidden beast` number, since 4 + 2 + 623 + 6 + 5 + 2 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27339601 + ... + 27341159.

It is an arithmetic number, because the mean of its divisors is an integer number (904237880).

Almost surely, 242623652420 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 42623652420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65105127360).

42623652420 is an abundant number, since it is smaller than the sum of its proper divisors (87586602300).

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

42623652420 is a wasteful number, since it uses less digits than its factorization.

42623652420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 42623652420 in words is "forty-two billion, six hundred twenty-three million, six hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 579 772 787 965 1158 1559 1574 1737 1930 2316 2361 2895 3118 3148 3474 3860 3935 4677 4722 5790 6236 6948 7083 7795 7870 8685 9354 9444 11580 11805 14031 14166 15590 15740 17370 18708 23385 23610 28062 28332 31180 34740 35415 46770 47220 56124 70155 70830 93540 140310 141660 151891 280620 300887 303782 455673 601774 607564 759455 902661 911346 1203548 1226933 1367019 1504435 1518910 1805322 1822692 2278365 2453866 2707983 2734038 3008870 3037820 3610644 3680799 4513305 4556730 4907732 5415966 5468076 6017740 6134665 6835095 7361598 9026610 9113460 10831932 11042397 12269330 13539915 13670190 14723196 18053220 18403995 22084794 24538660 27079830 27340380 36807990 44169588 54159660 55211985 73615980 110423970 220847940 236798069 473596138 710394207 947192276 1183990345 1420788414 2131182621 2367980690 2841576828 3551971035 4262365242 4735961380 7103942070 8524730484 10655913105 14207884140 21311826210 42623652420