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147153011540 = 225313759910709
BaseRepresentation
bin1000100100001100000…
…0001100001101010100
3112001211100100111220112
42021003000030031110
54402332132332130
6151333503422152
713426405650233
oct2110300141524
9461740314815
10147153011540
1157453047627
12246292b4958
1310b517ac7c2
14719d618b1a
153c63bb2495
hex224300c354

147153011540 has 96 divisors (see below), whose sum is σ = 328188672000. Its totient is φ = 55325237760.

The previous prime is 147153011539. The next prime is 147153011549. The reversal of 147153011540 is 45110351741.

It is a junction number, because it is equal to n+sod(n) for n = 147153011497 and 147153011506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147153011549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13735706 + ... + 13746414.

It is an arithmetic number, because the mean of its divisors is an integer number (3418632000).

Almost surely, 2147153011540 is an apocalyptic number.

147153011540 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 147153011540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164094336000).

147153011540 is an abundant number, since it is smaller than the sum of its proper divisors (181035660460).

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

147153011540 is a wasteful number, since it uses less digits than its factorization.

147153011540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11385 (or 11383 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 147153011540 in words is "one hundred forty-seven billion, one hundred fifty-three million, eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 599 620 740 1147 1198 2294 2396 2995 4588 5735 5990 10709 11470 11980 18569 21418 22163 22940 37138 42836 44326 53545 74276 88652 92845 107090 110815 185690 214180 221630 331979 371380 396233 443260 663958 687053 792466 1327916 1374106 1584932 1659895 1981165 2748212 3319790 3435265 3962330 6414691 6639580 6870530 7924660 12283223 12829382 13741060 24566446 25658764 32073455 49132892 61416115 64146910 122832230 128293820 198855421 237343567 245664460 397710842 474687134 795421684 949374268 994277105 1186717835 1988554210 2373435670 3977108420 4746871340 7357650577 14715301154 29430602308 36788252885 73576505770 147153011540