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1149421614624 = 2534661670877
BaseRepresentation
bin10000101110011110110…
…111011111011000100000
311001212212011112220210000
4100232132313133120200
5122313003413131444
62240011554140000
7146020511343363
oct20563667373040
94055764486700
101149421614624
114035155995a8
12166922b81600
138450ba7971a
143d8bd07a0da
151ed74697469
hex10b9eddf620

1149421614624 has 120 divisors (see below), whose sum is σ = 3385536182028. Its totient is φ = 382560330240.

The previous prime is 1149421614619. The next prime is 1149421614659. The reversal of 1149421614624 is 4264161249411.

1149421614624 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 4 + 2 + 1 + 6 + 14 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 942196366224 + 207225248400 = 970668^2 + 455220^2 .

It is a super-2 number, since 2×11494216146242 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1149421614624.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1377874 + ... + 2048750.

Almost surely, 21149421614624 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 1149421614624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692768091014).

1149421614624 is an abundant number, since it is smaller than the sum of its proper divisors (2236114567404).

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

1149421614624 is an equidigital number, since it uses as much as digits as its factorization.

1149421614624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671560 (or 671543 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 1149421614624 in words is "one trillion, one hundred forty-nine billion, four hundred twenty-one million, six hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 661 864 1296 1322 1983 2592 2644 3966 5288 5949 7932 10576 11898 15864 17847 21152 23796 31728 35694 47592 53541 63456 71388 95184 107082 142776 190368 214164 285552 428328 571104 670877 856656 1341754 1713312 2012631 2683508 4025262 5367016 6037893 8050524 10734032 12075786 16101048 18113679 21468064 24151572 32202096 36227358 48303144 54341037 64404192 72454716 96606288 108682074 144909432 193212576 217364148 289818864 434728296 443449697 579637728 869456592 886899394 1330349091 1738913184 1773798788 2660698182 3547597576 3991047273 5321396364 7095195152 7982094546 10642792728 11973141819 14190390304 15964189092 21285585456 23946283638 31928378184 35919425457 42571170912 47892567276 63856756368 71838850914 95785134552 127713512736 143677701828 191570269104 287355403656 383140538208 574710807312 1149421614624