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20147255028 = 2232292897477
BaseRepresentation
bin10010110000110111…
…101011011011110100
31221000002121121011200
4102300313223123310
5312230144130103
613131105332500
71312160561565
oct226067533364
957002547150
1020147255028
1185a966699a
123aa3337130
131b910552a4
14d91a9816c
157cdb570a3
hex4b0deb6f4

20147255028 has 108 divisors (see below), whose sum is σ = 53344238220. Its totient is φ = 6410460672.

The previous prime is 20147254997. The next prime is 20147255039. The reversal of 20147255028 is 82055274102.

It is a happy number.

20147255028 is a `hidden beast` number, since 2 + 0 + 14 + 72 + 550 + 28 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 431725284 + 19715529744 = 20778^2 + 140412^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20147254983 and 20147255001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2690826 + ... + 2698302.

Almost surely, 220147255028 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 20147255028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26672119110).

20147255028 is an abundant number, since it is smaller than the sum of its proper divisors (33196983192).

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

20147255028 is a wasteful number, since it uses less digits than its factorization.

20147255028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7634 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 20147255028 in words is "twenty billion, one hundred forty-seven million, two hundred fifty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 89 116 174 178 261 267 348 356 522 534 801 841 1044 1068 1602 1682 2523 2581 3204 3364 5046 5162 7477 7569 7743 10092 10324 14954 15138 15486 22431 23229 29908 30276 30972 44862 46458 67293 74849 89724 92916 134586 149698 216833 224547 269172 299396 433666 449094 650499 665453 673641 867332 898188 1300998 1330906 1347282 1951497 1996359 2601996 2661812 2694564 3902994 3992718 5989077 6288157 7805988 7985436 11978154 12576314 18864471 19298137 23956308 25152628 37728942 38596274 56593413 57894411 75457884 77192548 113186826 115788822 173683233 226373652 231577644 347366466 559645973 694732932 1119291946 1678937919 2238583892 3357875838 5036813757 6715751676 10073627514 20147255028