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5435668098 = 2327243331433
BaseRepresentation
bin1010000111111110…
…11011011010000010
3112000211011112211200
411003333123122002
542113012334343
62255213122030
7251462262600
oct50377333202
915024145750
105435668098
11233a324993
121078489316
136881ab073
14397cac870
1521c3134d3
hex143fdb682

5435668098 has 144 divisors (see below), whose sum is σ = 14093535456. Its totient is φ = 1508855040.

The previous prime is 5435668081. The next prime is 5435668103. The reversal of 5435668098 is 8908665345.

It is a happy number.

5435668098 is a `hidden beast` number, since 543 + 5 + 6 + 6 + 8 + 0 + 98 = 666.

It is a super-3 number, since 3×54356680983 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12553290 + ... + 12553722.

It is an arithmetic number, because the mean of its divisors is an integer number (97871774).

Almost surely, 25435668098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435668098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046767728).

5435668098 is an abundant number, since it is smaller than the sum of its proper divisors (8657867358).

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

5435668098 is a wasteful number, since it uses less digits than its factorization.

5435668098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 5435668098 is about 73726.9835135007. The cubic root of 5435668098 is about 1758.2649156002.

The spelling of 5435668098 in words is "five billion, four hundred thirty-five million, six hundred sixty-eight thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 49 63 86 98 126 129 147 258 294 301 331 387 433 441 602 662 774 866 882 903 993 1299 1806 1986 2107 2317 2598 2709 2979 3031 3897 4214 4634 5418 5958 6062 6321 6951 7794 9093 12642 13902 14233 16219 18186 18619 18963 20853 21217 27279 28466 32438 37238 37926 41706 42434 42699 48657 54558 55857 63651 85398 97314 99631 111714 127302 128097 130333 143323 145971 167571 190953 199262 256194 260666 286646 291942 298893 335142 381906 390999 429969 597786 697417 781998 859938 896679 912331 1003261 1172997 1289907 1394834 1793358 1824662 2006522 2092251 2345994 2579814 2736993 3009783 4184502 5473986 6019566 6162889 6276753 7022827 8210979 9029349 12325778 12553506 14045654 16421958 18058698 18488667 21068481 36977334 42136962 43140223 55466001 63205443 86280446 110932002 126410886 129420669 258841338 301981561 388262007 603963122 776524014 905944683 1811889366 2717834049 5435668098