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2553954312 = 2337131961547
BaseRepresentation
bin1001100000111010…
…0100000000001000
320120222201022200110
42120032210000020
520212303014222
61101232034320
7120201152640
oct23016440010
96528638613
102553954312
1110a0705748
125b33929a0
13319170690
141a3297520
15ee33730c
hex983a4008

2553954312 has 128 divisors (see below), whose sum is σ = 8272051200. Its totient is φ = 638108928.

The previous prime is 2553954311. The next prime is 2553954373. The reversal of 2553954312 is 2134593552.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2553954311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10723 + ... + 72269.

It is an arithmetic number, because the mean of its divisors is an integer number (64625400).

Almost surely, 22553954312 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 2553954312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136025600).

2553954312 is an abundant number, since it is smaller than the sum of its proper divisors (5718096888).

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

2553954312 is a wasteful number, since it uses less digits than its factorization.

2553954312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61595 (or 61591 counting only the distinct ones).

The product of its digits is 162000, while the sum is 39.

The square root of 2553954312 is about 50536.6630477320. The cubic root of 2553954312 is about 1366.9030354869.

The spelling of 2553954312 in words is "two billion, five hundred fifty-three million, nine hundred fifty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1976 2184 2964 3192 3458 5187 5928 6916 10374 13832 20748 41496 61547 123094 184641 246188 369282 430829 492376 738564 800111 861658 1169393 1292487 1477128 1600222 1723316 2338786 2400333 2584974 3200444 3446632 3508179 4677572 4800666 5169948 5600777 6400888 7016358 8185751 9355144 9601332 10339896 11201554 14032716 15202109 16371502 16802331 19202664 22403108 24557253 28065432 30404218 32743004 33604662 44806216 45606327 49114506 60808436 65486008 67209324 91212654 98229012 106414763 121616872 134418648 182425308 196458024 212829526 319244289 364850616 425659052 638488578 851318104 1276977156 2553954312