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153153272620 = 225235943113093
BaseRepresentation
bin1000111010100010100…
…1010111101100101100
3112122022111220100201101
42032220221113230230
510002124214210440
6154205130052444
714031165223615
oct2165051275454
9478274810641
10153153272620
1159a52036587
122582287a124
131159993a34a
1475ac494c0c
153eb584c69a
hex23a8a57b2c

153153272620 has 96 divisors (see below), whose sum is σ = 342111651840. Its totient is φ = 57466548480.

The previous prime is 153153272611. The next prime is 153153272641. The reversal of 153153272620 is 26272351351.

It is a happy number.

153153272620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 153153272620.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11690794 + ... + 11703886.

It is an arithmetic number, because the mean of its divisors is an integer number (3563663040).

Almost surely, 2153153272620 is an apocalyptic number.

153153272620 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 153153272620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171055825920).

153153272620 is an abundant number, since it is smaller than the sum of its proper divisors (188958379220).

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

153153272620 is a wasteful number, since it uses less digits than its factorization.

153153272620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13615 (or 13613 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 153153272620 in words is "one hundred fifty-three billion, one hundred fifty-three million, two hundred seventy-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 431 460 590 862 1180 1357 1724 2155 2714 4310 5428 6785 8620 9913 13093 13570 19826 25429 26186 27140 39652 49565 50858 52372 65465 99130 101716 127145 130930 198260 254290 261860 301139 508580 584867 602278 772487 1169734 1204556 1505695 1544974 2339468 2924335 3011390 3089948 3862435 5643083 5848670 6022780 7724870 11286166 11697340 15449740 17767201 22572332 28215415 35534402 56430830 71068804 88836005 112861660 129790909 177672010 259581818 332941897 355344020 519163636 648954545 665883794 1297909090 1331767588 1664709485 2595818180 3329418970 6658837940 7657663631 15315327262 30630654524 38288318155 76576636310 153153272620