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5071263706128 = 2431913155776207
BaseRepresentation
bin100100111001011111011…
…0111110010110000010000
3122221210211002100111012110
41021302332313302300100
51131041422002044003
614441412325025320
71032246433161204
oct111627667626020
918853732314173
105071263706128
111685790177764
1269aa17b55240
132aa2ab279c09
14137644152b04
158bdadc53a03
hex49cbedf2c10

5071263706128 has 160 divisors (see below), whose sum is σ = 13920677591040. Its totient is φ = 1586352867840.

The previous prime is 5071263706127. The next prime is 5071263706129. The reversal of 5071263706128 is 8216073621705.

It is an interprime number because it is at equal distance from previous prime (5071263706127) and next prime (5071263706129).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5071263706127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66507801 + ... + 66584007.

It is an arithmetic number, because the mean of its divisors is an integer number (87004234944).

Almost surely, 25071263706128 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 5071263706128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960338795520).

5071263706128 is an abundant number, since it is smaller than the sum of its proper divisors (8849413884912).

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

5071263706128 is a wasteful number, since it uses less digits than its factorization.

5071263706128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76925 (or 76919 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 5071263706128 in words is "five trillion, seventy-one billion, two hundred sixty-three million, seven hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 131 152 228 262 304 393 456 524 557 786 912 1048 1114 1572 1671 2096 2228 2489 3144 3342 4456 4978 6288 6684 7467 8912 9956 10583 13368 14934 19912 21166 26736 29868 31749 39824 42332 59736 63498 72967 76207 84664 119472 126996 145934 152414 169328 218901 228621 253992 291868 304828 437802 457242 507984 583736 609656 875604 914484 1167472 1219312 1386373 1447933 1751208 1828968 2772746 2895866 3502416 3657936 4159119 4343799 5545492 5791732 8318238 8687598 9983117 11090984 11583464 16636476 17375196 19966234 22181968 23166928 29949351 33272952 34750392 39932468 42447299 59898702 66545904 69500784 79864936 84894598 119797404 127341897 159729872 169789196 189679223 239594808 254683794 339578392 379358446 479189616 509367588 569037669 679156784 758716892 806498681 1018735176 1138075338 1517433784 1612997362 2037470352 2276150676 2419496043 3034867568 3225994724 4552301352 4838992086 5560596169 6451989448 9104602704 9677984172 11121192338 12903978896 16681788507 19355968344 22242384676 33363577014 38711936688 44484769352 66727154028 88969538704 105651327211 133454308056 211302654422 266908616112 316953981633 422605308844 633907963266 845210617688 1267815926532 1690421235376 2535631853064 5071263706128