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5277012400 = 2452116119661
BaseRepresentation
bin1001110101000100…
…01101000110110000
3111121202122000010201
410322202031012300
541301403344100
62231344404544
7244524602542
oct47242150660
914552560121
105277012400
112268810580
121033316754
1366136b45a
14380bad692
1520d42436a
hex13a88d1b0

5277012400 has 120 divisors (see below), whose sum is σ = 14058015408. Its totient is φ = 1887360000.

The previous prime is 5277012371. The next prime is 5277012401. The reversal of 5277012400 is 42107725.

It is not an unprimeable number, because it can be changed into a prime (5277012401) 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, 258570 + ... + 278230.

Almost surely, 25277012400 is an apocalyptic number.

5277012400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5277012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029007704).

5277012400 is an abundant number, since it is smaller than the sum of its proper divisors (8781003008).

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

5277012400 is a wasteful number, since it uses less digits than its factorization.

5277012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19751 (or 19740 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 5277012400 is about 72643.0478435480. The cubic root of 5277012400 is about 1740.9890444337.

The spelling of 5277012400 in words is "five billion, two hundred seventy-seven million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 61 80 88 100 110 122 176 200 220 244 275 305 400 440 488 550 610 671 880 976 1100 1220 1342 1525 2200 2440 2684 3050 3355 4400 4880 5368 6100 6710 10736 12200 13420 16775 19661 24400 26840 33550 39322 53680 67100 78644 98305 134200 157288 196610 216271 268400 314576 393220 432542 491525 786440 865084 983050 1081355 1199321 1572880 1730168 1966100 2162710 2398642 3460336 3932200 4325420 4797284 5406775 5996605 7864400 8650840 9594568 10813550 11993210 13192531 17301680 19189136 21627100 23986420 26385062 29983025 43254200 47972840 52770124 59966050 65962655 86508400 95945680 105540248 119932100 131925310 211080496 239864200 263850620 329813275 479728400 527701240 659626550 1055402480 1319253100 2638506200 5277012400