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5386112640 = 273259672
BaseRepresentation
bin1010000010000100…
…11000111010000000
3111220100220212112100
411001002120322000
542012321101030
62250243030400
7250321126206
oct50102307200
914810825470
105386112640
112314358167
12106396b400
1367ab4a0cc
1439148d076
15217cc5360
hex141098e80

5386112640 has 144 divisors (see below), whose sum is σ = 18618173730. Its totient is φ = 1434811392.

The previous prime is 5386112597. The next prime is 5386112657. The reversal of 5386112640 is 462116835.

It is a happy number.

5386112640 is a `hidden beast` number, since 5 + 3 + 8 + 6 + 1 + 1 + 2 + 640 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4847501376 + 538611264 = 69624^2 + 23208^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5386112595 and 5386112604.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5569437 + ... + 5570403.

Almost surely, 25386112640 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 5386112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309086865).

5386112640 is an abundant number, since it is smaller than the sum of its proper divisors (13232061090).

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

5386112640 is an frugal number, since it uses more digits than its factorization.

5386112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5386112640 is about 73390.1399371877. The cubic root of 5386112640 is about 1752.9053930453.

The spelling of 5386112640 in words is "five billion, three hundred eighty-six million, one hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 967 1152 1440 1920 1934 2880 2901 3868 4835 5760 5802 7736 8703 9670 11604 14505 15472 17406 19340 23208 29010 30944 34812 38680 43515 46416 58020 61888 69624 77360 87030 92832 116040 123776 139248 154720 174060 185664 232080 278496 309440 348120 371328 464160 556992 618880 696240 928320 935089 1113984 1392480 1856640 1870178 2784960 2805267 3740356 4675445 5569920 5610534 7480712 8415801 9350890 11221068 14026335 14961424 16831602 18701780 22442136 28052670 29922848 33663204 37403560 42079005 44884272 56105340 59845696 67326408 74807120 84158010 89768544 112210680 119691392 134652816 149614240 168316020 179537088 224421360 269305632 299228480 336632040 359074176 448842720 538611264 598456960 673264080 897685440 1077222528 1346528160 1795370880 2693056320 5386112640