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45553405040 = 245111317323017
BaseRepresentation
bin101010011011001100…
…011100110001110000
311100120200202202001122
4222123030130301300
51221243132430130
632532115321412
73201566361023
oct523314346160
9140520682048
1045553405040
1118356789490
1289b38b0268
1343ac774450
1422c1d671ba
1512b93052e5
hexa9b31cc70

45553405040 has 160 divisors (see below), whose sum is σ = 125152364736. Its totient is φ = 15201607680.

The previous prime is 45553405039. The next prime is 45553405069. The reversal of 45553405040 is 4050435554.

It is a super-2 number, since 2×455534050402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1967612 + ... + 1990628.

Almost surely, 245553405040 is an apocalyptic number.

45553405040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45553405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62576182368).

45553405040 is an abundant number, since it is smaller than the sum of its proper divisors (79598959696).

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

45553405040 is a wasteful number, since it uses less digits than its factorization.

45553405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23227 (or 23221 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 35.

The spelling of 45553405040 in words is "forty-five billion, five hundred fifty-three million, four hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 173 176 208 220 260 286 346 440 520 572 692 715 865 880 1040 1144 1384 1430 1730 1903 2249 2288 2768 2860 3460 3806 4498 5720 6920 7612 8996 9515 11245 11440 13840 15224 17992 19030 22490 23017 24739 30448 35984 38060 44980 46034 49478 76120 89960 92068 98956 115085 123695 152240 179920 184136 197912 230170 247390 253187 299221 368272 395824 460340 494780 506374 598442 920680 989560 1012748 1196884 1265935 1496105 1841360 1979120 2025496 2393768 2531870 2992210 3291431 3981941 4050992 4787536 5063740 5984420 6582862 7963882 10127480 11968840 13165724 15927764 16457155 19909705 20254960 23937680 26331448 31855528 32914310 39819410 43801351 51765233 52662896 63711056 65828620 79638820 87602702 103530466 131657240 159277640 175205404 207060932 219006755 258826165 263314480 318555280 350410808 414121864 438013510 517652330 569417563 700821616 828243728 876027020 1035304660 1138835126 1752054040 2070609320 2277670252 2847087815 3504108080 4141218640 4555340504 5694175630 9110681008 11388351260 22776702520 45553405040