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5478296160 = 25359721213
BaseRepresentation
bin1010001101000100…
…00010101001100000
3112010210101021112210
411012202002221200
542204420434120
62303334522120
7252520514631
oct50642025140
915123337483
105478296160
11236139aa97
12108a806340
13693c84b7c
1439d807888
15220e33ce0
hex146882a60

5478296160 has 144 divisors (see below), whose sum is σ = 17450744976. Its totient is φ = 1444626432.

The previous prime is 5478296137. The next prime is 5478296167. The reversal of 5478296160 is 616928745.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5478296167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4515714 + ... + 4516926.

It is an arithmetic number, because the mean of its divisors is an integer number (121185729).

Almost surely, 25478296160 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 5478296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725372488).

5478296160 is an abundant number, since it is smaller than the sum of its proper divisors (11972448816).

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

5478296160 is a wasteful number, since it uses less digits than its factorization.

5478296160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 5478296160 is about 74015.5129685663. The cubic root of 5478296160 is about 1762.8492244970.

The spelling of 5478296160 in words is "five billion, four hundred seventy-eight million, two hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1213 1455 1552 1940 2328 2426 2910 3104 3639 3880 4656 4852 5820 6065 7278 7760 9312 9409 9704 11640 12130 14556 15520 18195 18818 19408 23280 24260 28227 29112 36390 37636 38816 46560 47045 48520 56454 58224 72780 75272 94090 97040 112908 116448 117661 141135 145560 150544 188180 194080 225816 235322 282270 291120 301088 352983 376360 451632 470644 564540 582240 588305 705966 752720 903264 941288 1129080 1176610 1411932 1505440 1764915 1882576 2258160 2353220 2823864 3529830 3765152 4516320 4706440 5647728 7059660 9412880 11295456 11413117 14119320 18825760 22826234 28238640 34239351 45652468 56477280 57065585 68478702 91304936 114131170 136957404 171196755 182609872 228262340 273914808 342393510 365219744 456524680 547829616 684787020 913049360 1095659232 1369574040 1826098720 2739148080 5478296160