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5464141452 = 223271113991409
BaseRepresentation
bin1010001011011000…
…00010111010001100
3112002210202010221100
411011230002322030
542142310011302
62302111303100
7252256302360
oct50554027214
915083663840
105464141452
112354402390
121085b1aa90
1369106a1c3
1439b9a12a0
1521ea89d1c
hex145b02e8c

5464141452 has 144 divisors (see below), whose sum is σ = 17244864000. Its totient is φ = 1417236480.

The previous prime is 5464141447. The next prime is 5464141531. The reversal of 5464141452 is 2541414645.

5464141452 is a `hidden beast` number, since 5 + 4 + 64 + 141 + 452 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3877324 + ... + 3878732.

It is an arithmetic number, because the mean of its divisors is an integer number (119756000).

Almost surely, 25464141452 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 5464141452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622432000).

5464141452 is an abundant number, since it is smaller than the sum of its proper divisors (11780722548).

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

5464141452 is a wasteful number, since it uses less digits than its factorization.

5464141452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2831 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 5464141452 is about 73919.8312498074. The cubic root of 5464141452 is about 1761.3296439026.

The spelling of 5464141452 in words is "five billion, four hundred sixty-four million, one hundred forty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1399 1409 2772 2798 2818 4197 4227 5596 5636 8394 8454 9793 9863 12591 12681 15389 15499 16788 16908 19586 19726 25182 25362 29379 29589 30778 30998 39172 39452 46167 46497 50364 50724 58758 59178 61556 61996 88137 88767 92334 92994 107723 108493 117516 118356 138501 139491 176274 177534 184668 185988 215446 216986 277002 278982 323169 325479 352548 355068 430892 433972 554004 557964 646338 650958 969507 976437 1292676 1301916 1939014 1952874 1971191 3878028 3905748 3942382 5913573 7884764 11827146 13798337 17740719 21683101 23654292 27596674 35481438 41395011 43366202 55193348 65049303 70962876 82790022 86732404 124185033 130098606 151781707 165580044 195147909 248370066 260197212 303563414 390295818 455345121 496740132 607126828 780591636 910690242 1366035363 1821380484 2732070726 5464141452