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5265430135040 = 28559281924733
BaseRepresentation
bin100110010011111010000…
…0101111100000100000000
3200122100222212202001120102
41030213310011330010000
51142232100103310130
615110523305301532
71052262160453265
oct114476405740400
920570885661512
105265430135040
111750069050629
12710585a948a8
132c26b2b3207a
14142bc358926c
1591e74eb7645
hex4c9f417c100

5265430135040 has 144 divisors (see below), whose sum is σ = 12831187924800. Its totient is φ = 2069656068096.

The previous prime is 5265430135039. The next prime is 5265430135051. The reversal of 5265430135040 is 405310345625.

It is a junction number, because it is equal to n+sod(n) for n = 5265430134985 and 5265430135003.

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 15 ways as a sum of consecutive naturals, for example, 212878514 + ... + 212903246.

It is an arithmetic number, because the mean of its divisors is an integer number (89105471700).

Almost surely, 25265430135040 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 5265430135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415593962400).

5265430135040 is an abundant number, since it is smaller than the sum of its proper divisors (7565757789760).

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

5265430135040 is a wasteful number, since it uses less digits than its factorization.

5265430135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27632 (or 27618 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 5265430135040 in words is "five trillion, two hundred sixty-five billion, four hundred thirty million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 256 295 320 472 590 640 944 1180 1280 1888 2360 2819 3776 4720 5638 7552 9440 11276 14095 15104 18880 22552 24733 28190 37760 45104 49466 56380 75520 90208 98932 112760 123665 166321 180416 197864 225520 247330 332642 360832 395728 451040 494660 665284 721664 791456 831605 902080 989320 1330568 1459247 1582912 1663210 1804160 1978640 2661136 2918494 3165824 3326420 3608320 3957280 5322272 5836988 6331648 6652840 7296235 7914560 10644544 11673976 13305680 14592470 15829120 21289088 23347952 26611360 29184940 31658240 42578176 46695904 53222720 58369880 69722327 93391808 106445440 116739760 139444654 186783616 212890880 233479520 278889308 348611635 373567232 466959040 557778616 697223270 933918080 1115557232 1394446540 1867836160 2231114464 2788893080 4113617293 4462228928 5577786160 8227234586 8924457856 11155572320 16454469172 17848915712 20568086465 22311144640 32908938344 41136172930 44622289280 65817876688 82272345860 89244578560 131635753376 164544691720 263271506752 329089383440 526543013504 658178766880 1053086027008 1316357533760 2632715067520 5265430135040