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42501101505555 = 35711433129165827
BaseRepresentation
bin10011010100111100011110…
…00011101100110000010011
312120111001202211122212002010
421222132033003230300103
521032314223441134210
6230220423025354003
711644413626054550
oct1152361703546023
9176431684585063
1042501101505555
11125a6685886820
124924bb8a98903
131a93ab5236924
14a6d0c859da27
154da8403ae920
hex26a78f0ecc13

42501101505555 has 128 divisors (see below), whose sum is σ = 85044332814336. Its totient is φ = 17608086374400.

The previous prime is 42501101505433. The next prime is 42501101505601. The reversal of 42501101505555 is 55550510110524.

42501101505555 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42501101505555 - 210 = 42501101504531 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 645615552 + ... + 645681378.

It is an arithmetic number, because the mean of its divisors is an integer number (664408850112).

Almost surely, 242501101505555 is an apocalyptic number.

42501101505555 is an abundant number, since it is smaller than the sum of its proper divisors (42543231308781).

42501101505555 is a wasteful number, since it uses less digits than its factorization.

42501101505555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67577.

The product of its (nonzero) digits is 125000, while the sum is 39.

The spelling of 42501101505555 in words is "forty-two trillion, five hundred one billion, one hundred one million, five hundred five thousand, five hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 433 1155 1291 1299 2165 3031 3873 4763 6455 6495 9037 9093 14201 14289 15155 19365 23815 27111 33341 42603 45185 45465 65827 71005 71445 99407 100023 135555 166705 197481 213015 298221 329135 460789 497035 500115 559003 724097 987405 1382367 1491105 1677009 2172291 2303945 2795015 3620485 3913021 5068679 6149033 6911835 8385045 10861455 11739063 15206037 18447099 19565105 25343395 28503091 30745165 43043231 58695315 76030185 84982657 85509273 92235495 129129693 142515455 199521637 215216155 254947971 313534001 424913285 427546365 594878599 598564911 645648465 934809227 940602003 997608185 1274739855 1567670005 1784635797 2194738007 2804427681 2974392995 2992824555 4674046135 4703010015 6543664589 6584214021 8923178985 10973690035 14022138405 19630993767 32718322945 32921070105 36797490481 98154968835 110392471443 183987452405 257582433367 404772395291 551962357215 772747300101 1214317185873 1287912166835 2023861976455 2833406767037 3863736500505 6071585929365 8500220301111 14167033835185 42501101505555