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158029192960 = 2851741177131
BaseRepresentation
bin1001001100101101000…
…1100001111100000000
3120002220022210202222121
42103023101201330000
510042120433133320
6200333030014024
714263052656042
oct2231321417400
9502808722877
10158029192960
11610243a5711
12267637a7314
1311b95b74102
147911c97a92
15419d9448aa
hex24cb461f00

158029192960 has 144 divisors (see below), whose sum is σ = 410573554272. Its totient is φ = 58041958400.

The previous prime is 158029192861. The next prime is 158029192967. The reversal of 158029192960 is 69291920851.

It is a junction number, because it is equal to n+sod(n) for n = 158029192898 and 158029192907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158029192967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803595 + ... + 980725.

It is an arithmetic number, because the mean of its divisors is an integer number (2851205238).

Almost surely, 2158029192960 is an apocalyptic number.

158029192960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158029192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205286777136).

158029192960 is an abundant number, since it is smaller than the sum of its proper divisors (252544361312).

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

158029192960 is a wasteful number, since it uses less digits than its factorization.

158029192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177210 (or 177196 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 52.

The spelling of 158029192960 in words is "one hundred fifty-eight billion, twenty-nine million, one hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 64 68 80 82 85 128 136 160 164 170 205 256 272 320 328 340 410 544 640 656 680 697 820 1088 1280 1312 1360 1394 1640 2176 2624 2720 2788 3280 3485 4352 5248 5440 5576 6560 6970 10496 10880 11152 13120 13940 21760 22304 26240 27880 44608 52480 55760 89216 111520 177131 178432 223040 354262 446080 708524 885655 892160 1417048 1771310 2834096 3011227 3542620 5668192 6022454 7085240 7262371 11336384 12044908 14170480 14524742 15056135 22672768 24089816 28340960 29049484 30112270 36311855 45345536 48179632 56681920 58098968 60224540 72623710 96359264 113363840 116197936 120449080 123460307 145247420 192718528 226727680 232395872 240898160 246920614 290494840 385437056 464791744 481796320 493841228 580989680 617301535 770874112 929583488 963592640 987682456 1161979360 1234603070 1859166976 1927185280 1975364912 2323958720 2469206140 3854370560 3950729824 4647917440 4938412280 7901459648 9295834880 9876824560 15802919296 19753649120 31605838592 39507298240 79014596480 158029192960