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45996084150 = 23523123394229
BaseRepresentation
bin101010110101100101…
…001000101110110110
311101201112202011122020
4222311211020232312
51223144444143100
633044051414010
73215553156462
oct526545105666
9141645664566
1045996084150
1118563654895
128ab7bb4306
1344503a9b53
142324a7b4a2
1512e30e95a0
hexab5948bb6

45996084150 has 96 divisors (see below), whose sum is σ = 117828172800. Its totient is φ = 11862076800.

The previous prime is 45996084149. The next prime is 45996084223. The reversal of 45996084150 is 5148069954.

It is a junction number, because it is equal to n+sod(n) for n = 45996084093 and 45996084102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10874236 + ... + 10878464.

It is an arithmetic number, because the mean of its divisors is an integer number (1227376800).

Almost surely, 245996084150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45996084150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58914086400).

45996084150 is an abundant number, since it is smaller than the sum of its proper divisors (71832088650).

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

45996084150 is a wasteful number, since it uses less digits than its factorization.

45996084150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 45996084150 in words is "forty-five billion, nine hundred ninety-six million, eighty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1550 2325 2339 4229 4650 4678 7017 8458 11695 12687 14034 21145 23390 25374 35085 42290 58475 63435 70170 72509 105725 116950 126870 131099 145018 175425 211450 217527 262198 317175 350850 362545 393297 435054 634350 655495 725090 786594 1087635 1310990 1812725 1966485 2175270 3277475 3625450 3932970 5438175 6554950 9832425 9891631 10876350 19664850 19783262 29674893 49458155 59349786 98916310 148374465 247290775 296748930 306640561 494581550 613281122 741872325 919921683 1483744650 1533202805 1839843366 3066405610 4599608415 7666014025 9199216830 15332028050 22998042075 45996084150