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45522215040 = 2735161314699
BaseRepresentation
bin101010011001010101…
…011110000010000000
311100111112002010102110
4222121111132002000
51221212141340130
632525043015320
73201040305051
oct523125360200
9140445063373
1045522215040
1118340115a25
1289a536a540
1343a6173923
1422bbb68728
1512b66e3ab0
hexa9955e080

45522215040 has 128 divisors (see below), whose sum is σ = 145201896000. Its totient is φ = 12130906112.

The previous prime is 45522215023. The next prime is 45522215047. The reversal of 45522215040 is 4051222554.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45522214989 and 45522215007.

It is not an unprimeable number, because it can be changed into a prime (45522215047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3089611 + ... + 3104309.

Almost surely, 245522215040 is an apocalyptic number.

45522215040 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 45522215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72600948000).

45522215040 is an abundant number, since it is smaller than the sum of its proper divisors (99679680960).

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

45522215040 is a wasteful number, since it uses less digits than its factorization.

45522215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16334 (or 16322 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 45522215040 its reverse (4051222554), we get a palindrome (49573437594).

The spelling of 45522215040 in words is "forty-five billion, five hundred twenty-two million, two hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1613 1920 3226 4839 6452 8065 9678 12904 14699 16130 19356 24195 25808 29398 32260 38712 44097 48390 51616 58796 64520 73495 77424 88194 96780 103232 117592 129040 146990 154848 176388 193560 206464 220485 235184 258080 293980 309696 352776 387120 440970 470368 516160 587960 619392 705552 774240 881940 940736 1032320 1175920 1411104 1548480 1763880 1881472 2351840 2822208 3096960 3527760 4703680 5644416 7055520 9407360 14111040 23709487 28222080 47418974 71128461 94837948 118547435 142256922 189675896 237094870 284513844 355642305 379351792 474189740 569027688 711284610 758703584 948379480 1138055376 1422569220 1517407168 1896758960 2276110752 2845138440 3034814336 3793517920 4552221504 5690276880 7587035840 9104443008 11380553760 15174071680 22761107520 45522215040