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5450160640 = 29519891259
BaseRepresentation
bin1010001001101101…
…01101101000000000
3112001211102211212111
411010312231220000
542130220120030
62300451505104
7252026413111
oct50466555000
915054384774
105450160640
1123475233a1
1210812b8194
1368b1b3732
14399ba2208
1521d72762a
hex144dada00

5450160640 has 160 divisors (see below), whose sum is σ = 13920984000. Its totient is φ = 2040496128.

The previous prime is 5450160613. The next prime is 5450160701. The reversal of 5450160640 is 460610545.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4328331 + ... + 4329589.

It is an arithmetic number, because the mean of its divisors is an integer number (87006150).

Almost surely, 25450160640 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 5450160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960492000).

5450160640 is an abundant number, since it is smaller than the sum of its proper divisors (8470823360).

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

5450160640 is a wasteful number, since it uses less digits than its factorization.

5450160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 5450160640 is about 73825.2032845152. The cubic root of 5450160640 is about 1759.8261536276.

The spelling of 5450160640 in words is "five billion, four hundred fifty million, one hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 89 95 128 152 160 178 190 256 304 320 356 380 445 512 608 640 712 760 890 1216 1259 1280 1424 1520 1691 1780 2432 2518 2560 2848 3040 3382 3560 4864 5036 5696 6080 6295 6764 7120 8455 9728 10072 11392 12160 12590 13528 14240 16910 20144 22784 23921 24320 25180 27056 28480 33820 40288 45568 47842 48640 50360 54112 56960 67640 80576 95684 100720 108224 112051 113920 119605 135280 161152 191368 201440 216448 224102 227840 239210 270560 322304 382736 402880 432896 448204 478420 541120 560255 644608 765472 805760 865792 896408 956840 1082240 1120510 1530944 1611520 1792816 1913680 2128969 2164480 2241020 3061888 3223040 3585632 3827360 4257938 4328960 4482040 6123776 7171264 7654720 8515876 8964080 10644845 12247552 14342528 15309440 17031752 17928160 21289690 28685056 30618880 34063504 35856320 42579380 57370112 61237760 68127008 71712640 85158760 136254016 143425280 170317520 272508032 286850560 340635040 545016064 681270080 1090032128 1362540160 2725080320 5450160640