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5742141779752 = 2371931197883699
BaseRepresentation
bin101001110001111001001…
…0100100010111100101000
3202022221110201210202010121
41103203302110202330220
51223034401243423002
620113523054253024
71131566424543250
oct123436224427450
922287421722117
105742141779752
111914257379004
12788a477b7174
1332863523c251
1415bcc789c960
159e57632c237
hex538f2522f28

5742141779752 has 128 divisors (see below), whose sum is σ = 13437895680000. Its totient is φ = 2244734311680.

The previous prime is 5742141779669. The next prime is 5742141779761. The reversal of 5742141779752 is 2579771412475.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6055999 + ... + 6939697.

It is an arithmetic number, because the mean of its divisors is an integer number (104983560000).

Almost surely, 25742141779752 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 5742141779752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718947840000).

5742141779752 is an abundant number, since it is smaller than the sum of its proper divisors (7695753900248).

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

5742141779752 is a wasteful number, since it uses less digits than its factorization.

5742141779752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883959 (or 883955 counting only the distinct ones).

The product of its digits is 34574400, while the sum is 61.

The spelling of 5742141779752 in words is "five trillion, seven hundred forty-two billion, one hundred forty-one million, seven hundred seventy-nine thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 197 217 248 266 394 434 532 589 788 868 1064 1178 1379 1576 1736 2356 2758 3743 4123 4712 5516 6107 7486 8246 11032 12214 14972 16492 24428 26201 29944 32984 42749 48856 52402 85498 104804 116033 170996 209608 232066 341992 464132 812231 883699 928264 1624462 1767398 3248924 3534796 6185893 6497848 7069592 12371786 16790281 24743572 27394669 33580562 49487144 54789338 67161124 109578676 117531967 134322248 174088703 191762683 219157352 235063934 348177406 383525366 470127868 520498711 696354812 767050732 940255736 1040997422 1218620921 1392709624 1534101464 2081994844 2437241842 3307685357 3643490977 4163989688 4874483684 5396749793 6615370714 7286981954 9748967368 10793499586 13230741428 14573963908 21586999172 23153797499 26461482856 29147927816 37777248551 43173998344 46307594998 75554497102 92615189996 102538246067 151108994204 185230379992 205076492134 302217988408 410152984268 717767722469 820305968536 1435535444938 2871070889876 5742141779752