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45449653440 = 263550039463
BaseRepresentation
bin101010010101000000…
…101010110011000000
311100022110112121121210
4222111000222303000
51221040102402230
632513531450120
73166166452152
oct522500526300
9140273477553
1045449653440
1118303165364
128984bb6940
134394119179
1422b227aad2
1512b015deb0
hexa9502acc0

45449653440 has 112 divisors (see below), whose sum is σ = 144346745088. Its totient is φ = 12116204544.

The previous prime is 45449653433. The next prime is 45449653463. The reversal of 45449653440 is 4435694454.

It is a super-2 number, since 2×454496534402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45449653440.

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, 4798149 + ... + 4807611.

It is an arithmetic number, because the mean of its divisors is an integer number (1288810224).

Almost surely, 245449653440 is an apocalyptic number.

45449653440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45449653440 is an abundant number, since it is smaller than the sum of its proper divisors (98897091648).

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

45449653440 is a wasteful number, since it uses less digits than its factorization.

45449653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14486 (or 14476 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 45449653440 in words is "forty-five billion, four hundred forty-nine million, six hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 5003 9463 10006 15009 18926 20012 25015 28389 30018 37852 40024 47315 50030 56778 60036 75045 75704 80048 94630 100060 113556 120072 141945 150090 151408 160096 189260 200120 227112 240144 283890 300180 302816 320192 378520 400240 454224 480288 567780 600360 605632 757040 800480 908448 960576 1135560 1200720 1514080 1600960 1816896 2271120 2401440 3028160 4542240 4802880 9084480 47343389 94686778 142030167 189373556 236716945 284060334 378747112 473433890 568120668 710150835 757494224 946867780 1136241336 1420301670 1514988448 1893735560 2272482672 2840603340 3029976896 3787471120 4544965344 5681206680 7574942240 9089930688 11362413360 15149884480 22724826720 45449653440