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5541672096 = 2532311075801
BaseRepresentation
bin1010010100100111…
…10011010010100000
3112022012122002222200
411022103303102200
542322132001341
62313521133200
7254220302262
oct51223632240
915265562880
105541672096
1123941472a4
1210a7a8a200
136a414461c
143a7dc3b32
152267a1db6
hex14a4f34a0

5541672096 has 144 divisors (see below), whose sum is σ = 16422352128. Its totient is φ = 1770624000.

The previous prime is 5541672083. The next prime is 5541672109. The reversal of 5541672096 is 6902761455.

5541672096 is a `hidden beast` number, since 554 + 1 + 6 + 7 + 2 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (5541672083) and next prime (5541672109).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952396 + ... + 958196.

It is an arithmetic number, because the mean of its divisors is an integer number (114044112).

Almost surely, 25541672096 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 5541672096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8211176064).

5541672096 is an abundant number, since it is smaller than the sum of its proper divisors (10880680032).

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

5541672096 is a wasteful number, since it uses less digits than its factorization.

5541672096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5541672096 is about 74442.4079137692. The cubic root of 5541672096 is about 1769.6210469011.

The spelling of 5541672096 in words is "five billion, five hundred forty-one million, six hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 107 124 144 186 214 248 279 288 321 372 428 496 558 642 744 856 963 992 1116 1284 1488 1712 1926 2232 2568 2976 3317 3424 3852 4464 5136 5801 6634 7704 8928 9951 10272 11602 13268 15408 17403 19902 23204 26536 29853 30816 34806 39804 46408 52209 53072 59706 69612 79608 92816 104418 106144 119412 139224 159216 179831 185632 208836 238824 278448 318432 359662 417672 477648 539493 556896 620707 719324 835344 955296 1078986 1241414 1438648 1618479 1670688 1862121 2157972 2482828 2877296 3236958 3724242 4315944 4965656 5586363 5754592 6473916 7448484 8631888 9931312 11172726 12947832 14896968 17263776 19241917 19862624 22345452 25895664 29793936 38483834 44690904 51791328 57725751 59587872 76967668 89381808 115451502 153935336 173177253 178763616 230903004 307870672 346354506 461806008 615741344 692709012 923612016 1385418024 1847224032 2770836048 5541672096