Search a number
-
+
1153121353542 = 2324119712776211
BaseRepresentation
bin10000110001111011011…
…000110111111101000110
311002020102000021010110100
4100301323120313331012
5122343043031303132
62241423040304530
7146211264532254
oct20617330677506
94066360233410
101153121353542
11405043a40174
12167596012146
138497b40b552
143db5058d5d4
151eede3ab37c
hex10c7b637f46

1153121353542 has 96 divisors (see below), whose sum is σ = 2574787479264. Its totient is φ = 372743078400.

The previous prime is 1153121353537. The next prime is 1153121353607. The reversal of 1153121353542 is 2453531213511.

It is a happy number.

1153121353542 is a `hidden beast` number, since 1 + 1 + 53 + 1 + 2 + 13 + 53 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1153121353497 and 1153121353506.

It is a congruent number.

It is an unprimeable number.

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, 185654817 + ... + 185661027.

It is an arithmetic number, because the mean of its divisors is an integer number (26820702909).

Almost surely, 21153121353542 is an apocalyptic number.

1153121353542 is an abundant number, since it is smaller than the sum of its proper divisors (1421666125722).

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

1153121353542 is a wasteful number, since it uses less digits than its factorization.

1153121353542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7731 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The spelling of 1153121353542 in words is "one trillion, one hundred fifty-three billion, one hundred twenty-one million, three hundred fifty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 197 246 369 394 591 738 1182 1277 1773 2554 3546 3831 6211 7662 8077 11493 12422 16154 18633 22986 24231 37266 48462 52357 55899 72693 104714 111798 145386 157071 251569 254651 314142 471213 503138 509302 754707 763953 942426 1223567 1509414 1527906 2264121 2291859 2447134 3670701 4528242 4583718 7341402 7931447 10314329 11012103 15862894 20628658 22024206 23794341 30942987 47588682 50166247 61885974 71383023 92828961 100332494 142766046 150498741 185657922 300997482 325189327 451496223 650378654 902992446 975567981 1562495059 1951135962 2926703943 3124990118 4687485177 5853407886 9374970354 14062455531 28124911062 64062297419 128124594838 192186892257 384373784514 576560676771 1153121353542