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38542046620 = 225721119118719
BaseRepresentation
bin100011111001010010…
…001111010110011100
310200111001122211110011
4203321102033112130
51112413230442440
625412253453004
72533051663600
oct437122172634
9120431584404
1038542046620
1115388a870a0
1275777a1164
133832cc255c
141c18ad1500
1510089e59ea
hex8f948f59c

38542046620 has 144 divisors (see below), whose sum is σ = 103255326720. Its totient is φ = 11949571200.

The previous prime is 38542046561. The next prime is 38542046623. The reversal of 38542046620 is 2664024583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38542046623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2049621 + ... + 2068339.

It is an arithmetic number, because the mean of its divisors is an integer number (717050880).

Almost surely, 238542046620 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 38542046620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51627663360).

38542046620 is an abundant number, since it is smaller than the sum of its proper divisors (64713280100).

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

38542046620 is a wasteful number, since it uses less digits than its factorization.

38542046620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18944 (or 18935 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 38542046620 in words is "thirty-eight billion, five hundred forty-two million, forty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 191 196 220 245 308 382 385 490 539 764 770 955 980 1078 1337 1540 1910 2101 2156 2674 2695 3820 4202 5348 5390 6685 8404 9359 10505 10780 13370 14707 18718 18719 21010 26740 29414 37436 37438 42020 46795 58828 73535 74876 93590 93595 102949 131033 147070 187180 187190 205898 205909 262066 294140 374380 411796 411818 514745 524132 655165 823636 917231 1029490 1029545 1310330 1441363 1834462 2058980 2059090 2620660 2882726 3575329 3668924 4118180 4586155 5765452 7150658 7206815 9172310 10089541 14301316 14413630 17876645 18344620 20179082 25027303 28827260 35753290 39328619 40358164 50054606 50447705 71506580 78657238 100109212 100895410 125136515 157314476 175191121 196643095 201790820 250273030 275300333 350382242 393286190 500546060 550600666 700764484 786572380 875955605 1101201332 1376501665 1751911210 1927102331 2753003330 3503822420 3854204662 5506006660 7708409324 9635511655 19271023310 38542046620