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53423778100 = 225271113152963
BaseRepresentation
bin110001110000010011…
…100010100100110100
312002220012021010020011
4301300103202210310
51333402441344400
640313104550004
73600614423050
oct616023424464
9162805233204
1053423778100
112072536a230
12a42b622304
13506519c824
14282b32ac60
1515ca2478ba
hexc704e2934

53423778100 has 144 divisors (see below), whose sum is σ = 145641678336. Its totient is φ = 16524144000.

The previous prime is 53423778097. The next prime is 53423778113. The reversal of 53423778100 is 187732435.

It is a happy number.

It is a super-2 number, since 2×534237781002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982219 + ... + 1035181.

It is an arithmetic number, because the mean of its divisors is an integer number (1011400544).

Almost surely, 253423778100 is an apocalyptic number.

53423778100 is a gapful number since it is divisible by the number (50) 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 53423778100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72820839168).

53423778100 is an abundant number, since it is smaller than the sum of its proper divisors (92217900236).

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

53423778100 is a wasteful number, since it uses less digits than its factorization.

53423778100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53126 (or 53119 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 53423778100 in words is "fifty-three billion, four hundred twenty-three million, seven hundred seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 131 140 154 175 220 262 275 308 350 385 524 550 655 700 770 917 1100 1310 1441 1540 1834 1925 2620 2882 3275 3668 3850 4585 5764 6550 7205 7700 9170 10087 13100 14410 18340 20174 22925 28820 36025 40348 45850 50435 52963 72050 91700 100870 105926 144100 201740 211852 252175 264815 370741 504350 529630 582593 741482 1008700 1059260 1165186 1324075 1482964 1853705 2330372 2648150 2912965 3707410 4078151 5296300 5825930 6938153 7414820 8156302 9268525 11651860 13876306 14564825 16312604 18537050 20390755 27752612 29129650 34690765 37074100 40781510 48567071 58259300 69381530 76319683 81563020 97134142 101953775 138763060 152639366 173453825 194268284 203907550 242835355 305278732 346907650 381598415 407815100 485670710 534237781 693815300 763196830 971341420 1068475562 1214176775 1526393660 1907992075 2136951124 2428353550 2671188905 3815984150 4856707100 5342377810 7631968300 10684755620 13355944525 26711889050 53423778100