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5445384320 = 27523834457
BaseRepresentation
bin1010001001001000…
…11111100010000000
3112001111110011222202
411010210133202000
542123004244240
62300201252332
7251641001015
oct50444374200
915044404882
105445384320
112344860922
12107b7940a8
1368a2006cc
143992bb70c
1521d0d2315
hex14491f880

5445384320 has 128 divisors (see below), whose sum is σ = 13750611840. Its totient is φ = 2057887744.

The previous prime is 5445384319. The next prime is 5445384377. The reversal of 5445384320 is 234835445.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219532 + ... + 1223988.

It is an arithmetic number, because the mean of its divisors is an integer number (107426655).

Almost surely, 25445384320 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 5445384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875305920).

5445384320 is an abundant number, since it is smaller than the sum of its proper divisors (8305227520).

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

5445384320 is a wasteful number, since it uses less digits than its factorization.

5445384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The square root of 5445384320 is about 73792.8473498618. The cubic root of 5445384320 is about 1759.3119211106.

The spelling of 5445384320 in words is "five billion, four hundred forty-five million, three hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 83 92 115 128 160 166 184 230 320 332 368 415 460 640 664 736 830 920 1328 1472 1660 1840 1909 2656 2944 3320 3680 3818 4457 5312 6640 7360 7636 8914 9545 10624 13280 14720 15272 17828 19090 22285 26560 30544 35656 38180 44570 53120 61088 71312 76360 89140 102511 122176 142624 152720 178280 205022 244352 285248 305440 356560 369931 410044 512555 570496 610880 713120 739862 820088 1025110 1221760 1426240 1479724 1640176 1849655 2050220 2852480 2959448 3280352 3699310 4100440 5918896 6560704 7398620 8200880 8508413 11837792 13121408 14797240 16401760 17016826 23675584 29594480 32803520 34033652 42542065 47351168 59188960 65607040 68067304 85084130 118377920 136134608 170168260 236755840 272269216 340336520 544538432 680673040 1089076864 1361346080 2722692160 5445384320