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42752418030 = 2345755713537
BaseRepresentation
bin100111110100001111…
…100010000011101110
311002100111012212020000
4213310033202003232
51200024104334110
631350140405130
73042305362110
oct476417420356
9132314185200
1042752418030
1117149697493
1283518467a6
13405438cb9a
1420d7d673b0
1511a34731c0
hex9f43e20ee

42752418030 has 160 divisors (see below), whose sum is σ = 131624450496. Its totient is φ = 9753716736.

The previous prime is 42752417993. The next prime is 42752418053. The reversal of 42752418030 is 3081425724.

It is a happy number.

42752418030 is a `hidden beast` number, since 4 + 27 + 524 + 1 + 80 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3151422 + ... + 3164958.

Almost surely, 242752418030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42752418030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65812225248).

42752418030 is an abundant number, since it is smaller than the sum of its proper divisors (88872032466).

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

42752418030 is a wasteful number, since it uses less digits than its factorization.

42752418030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14120 (or 14111 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42752418030 in words is "forty-two billion, seven hundred fifty-two million, four hundred eighteen thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 557 567 630 810 945 1114 1134 1671 1890 2785 2835 3342 3899 5013 5570 5670 7798 8355 10026 11697 13537 15039 16710 19495 23394 25065 27074 30078 35091 38990 40611 45117 50130 58485 67685 70182 75195 81222 90234 94759 105273 116970 121833 135370 150390 175455 189518 203055 210546 225585 243666 284277 315819 350910 365499 406110 451170 473795 526365 568554 609165 631638 730998 852831 947590 1052730 1096497 1218330 1421385 1579095 1705662 1827495 2192994 2558493 2842770 3158190 3654990 4264155 5116986 5482485 7540109 7675479 8528310 10964970 12792465 15080218 15350958 22620327 25584930 37700545 38377395 45240654 52780763 67860981 75401090 76754790 105561526 113101635 135721962 158342289 203582943 226203270 263903815 316684578 339304905 407165886 475026867 527807630 610748829 678609810 791711445 950053734 1017914715 1221497658 1425080601 1583422890 2035829430 2375134335 2850161202 3053744145 4275241803 4750268670 6107488290 7125403005 8550483606 14250806010 21376209015 42752418030