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42377153070 = 23571760119751
BaseRepresentation
bin100111011101111000…
…000000101000101110
311001101100002102110210
4213131320000220232
51143242022344240
631245013243250
73030100600140
oct473570005056
9131340072423
1042377153070
1116a7688635a
128268033526
133cc46cc005
1420a01a0c90
151180548780
hex9dde00a2e

42377153070 has 128 divisors (see below), whose sum is σ = 123282819072. Its totient is φ = 9100800000.

The previous prime is 42377153023. The next prime is 42377153083. The reversal of 42377153070 is 7035177324.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2135695 + ... + 2155445.

It is an arithmetic number, because the mean of its divisors is an integer number (963147024).

Almost surely, 242377153070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42377153070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641409536).

42377153070 is an abundant number, since it is smaller than the sum of its proper divisors (80905666002).

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

42377153070 is a wasteful number, since it uses less digits than its factorization.

42377153070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20386.

The product of its (nonzero) digits is 123480, while the sum is 39.

The spelling of 42377153070 in words is "forty-two billion, three hundred seventy-seven million, one hundred fifty-three thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 601 714 1190 1202 1785 1803 3005 3570 3606 4207 6010 8414 9015 10217 12621 18030 19751 20434 21035 25242 30651 39502 42070 51085 59253 61302 63105 71519 98755 102170 118506 126210 138257 143038 153255 197510 214557 276514 296265 306510 335767 357595 414771 429114 592530 671534 691285 715190 829542 1007301 1072785 1382570 1678835 2014602 2073855 2145570 2350369 3357670 4147710 4700738 5036505 7051107 10073010 11751845 11870351 14102214 23503690 23740702 35255535 35611053 59351755 70511070 71222106 83092457 118703510 166184914 178055265 201795967 249277371 356110530 403591934 415462285 498554742 605387901 830924570 1008979835 1210775802 1246386855 1412571769 2017959670 2492773710 2825143538 3026939505 4237715307 6053879010 7062858845 8475430614 14125717690 21188576535 42377153070