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5192897760 = 2532529124351
BaseRepresentation
bin1001101011000010…
…10101010011100000
3111101220100112112200
410311201111103200
541113340212020
62215141453200
7242453621421
oct46541252340
914356315480
105192897760
112225289a46
12100b111200
13649aca28b
14373955648
15205d5b590
hex1358554e0

5192897760 has 144 divisors (see below), whose sum is σ = 18331971840. Its totient is φ = 1337011200.

The previous prime is 5192897753. The next prime is 5192897767. The reversal of 5192897760 is 677982915.

It is an interprime number because it is at equal distance from previous prime (5192897753) and next prime (5192897767).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5192897697 and 5192897706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5192897767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20416 + ... + 103935.

It is an arithmetic number, because the mean of its divisors is an integer number (127305360).

Almost surely, 25192897760 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 5192897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165985920).

5192897760 is an abundant number, since it is smaller than the sum of its proper divisors (13139074080).

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

5192897760 is a wasteful number, since it uses less digits than its factorization.

5192897760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124401 (or 124390 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 5192897760 is about 72061.7635088124. The cubic root of 5192897760 is about 1731.6891028496.

The spelling of 5192897760 in words is "five billion, one hundred ninety-two million, eight hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5220 6960 8352 10440 13920 20880 41760 124351 248702 373053 497404 621755 746106 994808 1119159 1243510 1492212 1865265 1989616 2238318 2487020 2984424 3606179 3730530 3979232 4476636 4974040 5595795 5968848 7212358 7461060 8953272 9948080 10818537 11191590 11937696 14424716 14922120 17906544 18030895 19896160 21637074 22383180 28849432 29844240 32455611 35813088 36061790 43274148 44766360 54092685 57698864 59688480 64911222 72123580 86548296 89532720 108185370 115397728 129822444 144247160 162278055 173096592 179065440 216370740 259644888 288494320 324556110 346193184 432741480 519289776 576988640 649112220 865482960 1038579552 1298224440 1730965920 2596448880 5192897760