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1132155362364 = 2231321573739533
BaseRepresentation
bin10000011110011001101…
…101111101110000111100
311000020021212001102102120
4100132121231331300330
5122022123233043424
62224034402322540
7144536602540455
oct20363155756074
94006255042376
101132155362364
113a7165206734
12163504659450
13829b9873300
143cb21c9012c
151e6b392aa79
hex10799b7dc3c

1132155362364 has 144 divisors (see below), whose sum is σ = 2886775147872. Its totient is φ = 345172478976.

The previous prime is 1132155362363. The next prime is 1132155362389. The reversal of 1132155362364 is 4632635512311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132155362363) 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, 118756942 + ... + 118766474.

It is an arithmetic number, because the mean of its divisors is an integer number (20047049638).

Almost surely, 21132155362364 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 1132155362364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443387573936).

1132155362364 is an abundant number, since it is smaller than the sum of its proper divisors (1754619785508).

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

1132155362364 is a wasteful number, since it uses less digits than its factorization.

1132155362364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10096 (or 10081 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The spelling of 1132155362364 in words is "one trillion, one hundred thirty-two billion, one hundred fifty-five million, three hundred sixty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 169 314 338 373 471 507 628 676 746 942 1014 1119 1492 1884 2028 2041 2238 4082 4476 4849 6123 8164 9533 9698 12246 14547 19066 19396 24492 26533 28599 29094 38132 53066 57198 58188 58561 63037 79599 106132 114396 117122 123929 126074 159198 175683 189111 234244 247858 252148 318396 351366 371787 378222 495716 702732 743574 756444 761293 1487148 1496681 1522586 1611077 2283879 2993362 3045172 3222154 3555809 4490043 4567758 4833231 5986724 6444308 7111618 8980086 9135516 9666462 9896809 10667427 14223236 17960172 19332924 19456853 19793618 21334854 29690427 38913706 39587236 42669708 46225517 58370559 59380854 77827412 92451034 116741118 118761708 138676551 184902068 233482236 252939089 277353102 505878178 554706204 558262013 600931721 758817267 1011756356 1116524026 1201863442 1517634534 1674786039 1802795163 2233048052 2403726884 3035269068 3349572078 3605590326 6699144156 7211180652 7257406169 14514812338 21772218507 29029624676 43544437014 87088874028 94346280197 188692560394 283038840591 377385120788 566077681182 1132155362364