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150763017020 = 225711227431269
BaseRepresentation
bin1000110001101000101…
…1010001001100111100
3112102010221012210110012
42030122023101030330
54432230313021040
6153132022402352
713615022333450
oct2143213211474
9472127183405
10150763017020
1158a3587a130
12252762903b8
13112a8683b15
147422c50660
153dc5a9d865
hex231a2d133c

150763017020 has 96 divisors (see below), whose sum is σ = 396464785920. Its totient is φ = 46783952640.

The previous prime is 150763017017. The next prime is 150763017029. The reversal of 150763017020 is 20710367051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150763017029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133946 + ... + 565214.

It is an arithmetic number, because the mean of its divisors is an integer number (4129841520).

Almost surely, 2150763017020 is an apocalyptic number.

150763017020 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 150763017020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198232392960).

150763017020 is an abundant number, since it is smaller than the sum of its proper divisors (245701768900).

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

150763017020 is a wasteful number, since it uses less digits than its factorization.

150763017020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431523 (or 431521 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 150763017020 in words is "one hundred fifty billion, seven hundred sixty-three million, seventeen thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 227 308 385 454 770 908 1135 1540 1589 2270 2497 3178 4540 4994 6356 7945 9988 12485 15890 17479 24970 31780 34958 49940 69916 87395 174790 349580 431269 862538 1725076 2156345 3018883 4312690 4743959 6037766 8625380 9487918 12075532 15094415 18975836 23719795 30188830 33207713 47439590 60377660 66415426 94879180 97898063 132830852 166038565 195796126 332077130 391592252 489490315 664154260 685286441 978980630 1076878693 1370572882 1957961260 2153757386 2741145764 3426432205 4307514772 5384393465 6852864410 7538150851 10768786930 13705728820 15076301702 21537573860 30152603404 37690754255 75381508510 150763017020