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2052134050350 = 235216384439941
BaseRepresentation
bin11101110111001100101…
…110001001101000101110
321021011220202021000022210
4131313030232021220232
5232110232304102400
64210423134351250
7301155536422656
oct35671456115056
97234822230283
102052134050350
1172133a19950a
1229187365b526
1311b691484687
14714767b1366
15385a9db3950
hex1ddccb89a2e

2052134050350 has 96 divisors (see below), whose sum is σ = 5121636729984. Its totient is φ = 543759350400.

The previous prime is 2052134050313. The next prime is 2052134050357. The reversal of 2052134050350 is 530504312502.

It is a super-2 number, since 2×20521340503502 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052134050357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206426380 + ... + 206436320.

It is an arithmetic number, because the mean of its divisors is an integer number (53350382604).

Almost surely, 22052134050350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052134050350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560818364992).

2052134050350 is an abundant number, since it is smaller than the sum of its proper divisors (3069502679634).

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

2052134050350 is a wasteful number, since it uses less digits than its factorization.

2052134050350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18562 (or 18557 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 2052134050350 its reverse (530504312502), we get a palindrome (2582638362852).

The spelling of 2052134050350 in words is "two trillion, fifty-two billion, one hundred thirty-four million, fifty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 163 326 489 815 978 1630 2445 4075 4890 8150 8443 9941 12225 16886 19882 24450 25329 29823 42215 49705 50658 59646 84430 99410 126645 149115 211075 248525 253290 298230 422150 497050 633225 745575 1266450 1376209 1491150 1620383 2752418 3240766 4128627 4861149 6881045 8101915 8257254 9722298 13762090 16203830 20643135 24305745 34405225 40509575 41286270 48611490 68810450 81019150 83931863 103215675 121528725 167863726 206431350 243057450 251795589 419659315 503591178 839318630 1258977945 2098296575 2517955890 4196593150 6294889725 12589779450 13680893669 27361787338 41042681007 68404468345 82085362014 136808936690 205213405035 342022341725 410426810070 684044683450 1026067025175 2052134050350