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1132514532450 = 232527919391217
BaseRepresentation
bin10000011110101111001…
…000000101110001100010
311000021012212220011011100
4100132233020011301202
5122023342210014300
62224134152455230
7144551523456540
oct20365710056142
94007185804140
101132514532450
113a7329a24514
121635a49aa516
1382a460ba3a2
143cb57866d90
151e6d5226700
hex107af205c62

1132514532450 has 144 divisors (see below), whose sum is σ = 3481151656320. Its totient is φ = 258578127360.

The previous prime is 1132514532439. The next prime is 1132514532451. The reversal of 1132514532450 is 542354152311.

1132514532450 is a `hidden beast` number, since 1 + 1 + 32 + 5 + 145 + 32 + 450 = 666.

It is not an unprimeable number, because it can be changed into a prime (1132514532451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2699242 + ... + 3090458.

It is an arithmetic number, because the mean of its divisors is an integer number (24174664280).

Almost surely, 21132514532450 is an apocalyptic number.

1132514532450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132514532450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740575828160).

1132514532450 is an abundant number, since it is smaller than the sum of its proper divisors (2348637123870).

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

1132514532450 is a wasteful number, since it uses less digits than its factorization.

1132514532450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392161 (or 392153 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1132514532450 its reverse (542354152311), we get a palindrome (1674868684761).

The spelling of 1132514532450 in words is "one trillion, one hundred thirty-two billion, five hundred fourteen million, five hundred thirty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 919 1050 1575 1838 2757 3150 4595 5514 6433 8271 9190 12866 13785 16542 19299 22975 27570 32165 38598 41355 45950 57897 64330 68925 82710 96495 115794 137850 160825 192990 206775 289485 321650 391217 413550 482475 578970 782434 964950 1173651 1447425 1956085 2347302 2738519 2894850 3520953 3912170 5477038 5868255 7041906 8215557 9780425 11736510 13692595 16431114 17604765 19560850 24646671 27385190 29341275 35209530 41077785 49293342 58682550 68462975 82155570 88023825 123233355 136925950 176047650 205388925 246466710 359528423 410777850 616166775 719056846 1078585269 1232333550 1797642115 2157170538 2516698961 3235755807 3595284230 5033397922 5392926345 6471511614 7550096883 8988210575 10785852690 12583494805 15100193766 16178779035 17976421150 22650290649 25166989610 26964631725 32357558070 37750484415 45300581298 53929263450 62917474025 75500968830 80893895175 113251453245 125834948050 161787790350 188752422075 226502906490 377504844150 566257266225 1132514532450