Search a number
-
+
631152803772 = 22321710320894793
BaseRepresentation
bin10010010111100111010…
…00110111111110111100
32020100010010100110100100
421023303220313332330
540320100104210042
61201540403001100
763412361212551
oct11136350677674
92210103313310
10631152803772
11223741338117
12a23a3969190
1347695b008ca
1422795854a28
151163ecad24c
hex92f3a37fbc

631152803772 has 144 divisors (see below), whose sum is σ = 1706835049920. Its totient is φ = 195951550464.

The previous prime is 631152803741. The next prime is 631152803779. The reversal of 631152803772 is 277308251136.

631152803772 is a `hidden beast` number, since 631 + 1 + 5 + 2 + 8 + 0 + 3 + 7 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631152803779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131679808 + ... + 131684600.

It is an arithmetic number, because the mean of its divisors is an integer number (11853021180).

Almost surely, 2631152803772 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 631152803772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853417524960).

631152803772 is an abundant number, since it is smaller than the sum of its proper divisors (1075682246148).

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

631152803772 is a wasteful number, since it uses less digits than its factorization.

631152803772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 631152803772 in words is "six hundred thirty-one billion, one hundred fifty-two million, eight hundred three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 103 153 204 206 306 309 412 612 618 927 1236 1751 1854 2089 3502 3708 4178 4793 5253 6267 7004 8356 9586 10506 12534 14379 15759 18801 19172 21012 25068 28758 31518 35513 37602 43137 57516 63036 71026 75204 81481 86274 106539 142052 162962 172548 213078 215167 244443 319617 325924 426156 430334 488886 493679 639234 645501 733329 860668 977772 987358 1278468 1291002 1466658 1481037 1936503 1974716 2582004 2933316 2962074 3657839 3873006 4443111 5924148 7315678 7746012 8392543 8886222 10012577 10973517 14631356 16785086 17772444 20025154 21947034 25177629 30037731 32920551 33570172 40050308 43894068 50355258 60075462 65841102 75532887 90113193 100710516 120150924 131682204 151065774 170213809 180226386 302131548 340427618 360452772 510641427 680855236 1021282854 1031295431 1531924281 2042565708 2062590862 3063848562 3093886293 4125181724 6127697124 6187772586 9281658879 12375545172 17532022327 18563317758 35064044654 37126635516 52596066981 70128089308 105192133962 157788200943 210384267924 315576401886 631152803772