Search a number
-
+
1902032656164 = 223417245072
BaseRepresentation
bin11011101011011001111…
…110110001011100100100
320201211110221000010210000
4123223121332301130210
5222130330324444124
64013440504501300
7254263066551564
oct33533176613444
96654427003700
101902032656164
11673713937413
12268762a7a830
1310a48cbc3c74
14680b7788da4
15347224566c9
hex1bad9fb1724

1902032656164 has 135 divisors (see below), whose sum is σ = 5283154029153. Its totient is φ = 596583729792.

The previous prime is 1902032656151. The next prime is 1902032656187. The reversal of 1902032656164 is 4616562302091.

The square root of 1902032656164 is 1379142.

It is a perfect power (a square), and thus also a powerful number.

1902032656164 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 0 + 3 + 26 + 5 + 616 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1480821272100 + 421211384064 = 1216890^2 + 649008^2 .

It is a super-2 number, since 2×19020326561642 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 422015199 + ... + 422019705.

Almost surely, 21902032656164 is an apocalyptic number.

1902032656164 is the 1379142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1902032656164

1902032656164 is an abundant number, since it is smaller than the sum of its proper divisors (3381121372989).

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

1902032656164 is an frugal number, since it uses more digits than its factorization.

1902032656164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9064 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1902032656164 in words is "one trillion, nine hundred two billion, thirty-two million, six hundred fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3468 4507 5202 5508 7803 9014 10404 13521 15606 18028 23409 27042 31212 40563 46818 54084 76619 81126 93636 121689 153238 162252 229857 243378 306476 365067 459714 486756 689571 730134 919428 1302523 1379142 1460268 2068713 2605046 2758284 3907569 4137426 5210092 6206139 7815138 8274852 11722707 12412278 15630276 20313049 23445414 24824556 35168121 40626098 46890828 60939147 70336242 81252196 105504363 121878294 140672484 182817441 211008726 243756588 345321833 365634882 422017452 548452323 690643666 731269764 1035965499 1096904646 1381287332 1645356969 2071930998 2193809292 3107896497 3290713938 4143861996 5870471161 6215792994 6581427876 9323689491 11740942322 12431585988 17611413483 18647378982 23481884644 27971068473 35222826966 37294757964 52834240449 55942136946 70445653932 105668480898 111884273892 158502721347 211336961796 317005442694 475508164041 634010885388 951016328082 1902032656164