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45016161152 = 271739972039
BaseRepresentation
bin101001111011001011…
…000001101110000000
311022012020211220222212
4221323023001232000
51214143114124102
632402524321252
73152354025224
oct517313015600
9138166756885
1045016161152
11181004a4176
1288839a3228
13432537c161
142270878784
151287081c52
hexa7b2c1b80

45016161152 has 64 divisors (see below), whose sum is σ = 90333770400. Its totient is φ = 22344566784.

The previous prime is 45016161119. The next prime is 45016161187. The reversal of 45016161152 is 25116161054.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22076549 + ... + 22078587.

Almost surely, 245016161152 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 45016161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45166885200).

45016161152 is an abundant number, since it is smaller than the sum of its proper divisors (45317609248).

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

45016161152 is a wasteful number, since it uses less digits than its factorization.

45016161152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 45016161152 in words is "forty-five billion, sixteen million, one hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 997 1384 1994 2039 2768 3988 4078 5536 7976 8156 11072 15952 16312 22144 31904 32624 63808 65248 127616 130496 172481 260992 344962 352747 689924 705494 1379848 1410988 2032883 2759696 2821976 4065766 5519392 5643952 8131532 11038784 11287904 16263064 22077568 22575808 32526128 45151616 65052256 130104512 260209024 351688759 703377518 1406755036 2813510072 5627020144 11254040288 22508080576 45016161152