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149817589760 = 21652391913
BaseRepresentation
bin1000101110000111010…
…0110000000000000000
3112022201001020010001202
42023201310300000000
54423311300333020
6152454130520332
713552422333656
oct2134164600000
9468631203052
10149817589760
11585a013a693
12250517360a8
13111878434c7
14737346add6
153d6ca9be75
hex22e1d30000

149817589760 has 136 divisors (see below), whose sum is σ = 361252647360. Its totient is φ = 59645100032.

The previous prime is 149817589741. The next prime is 149817589763. The reversal of 149817589760 is 67985718941.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149817589763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78314564 + ... + 78316476.

Almost surely, 2149817589760 is an apocalyptic number.

149817589760 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 149817589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180626323680).

149817589760 is an abundant number, since it is smaller than the sum of its proper divisors (211435057600).

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

149817589760 is an frugal number, since it uses more digits than its factorization.

149817589760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 65.

The spelling of 149817589760 in words is "one hundred forty-nine billion, eight hundred seventeen million, five hundred eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 256 320 478 512 640 956 1024 1195 1280 1912 1913 2048 2390 2560 3824 3826 4096 4780 5120 7648 7652 8192 9560 9565 10240 15296 15304 16384 19120 19130 20480 30592 30608 32768 38240 38260 40960 61184 61216 65536 76480 76520 81920 122368 122432 152960 153040 163840 244736 244864 305920 306080 327680 457207 489472 489728 611840 612160 914414 978944 979456 1223680 1224320 1828828 1957888 1958912 2286035 2447360 2448640 3657656 3915776 3917824 4572070 4894720 4897280 7315312 7831552 7835648 9144140 9789440 9794560 14630624 15663104 15671296 18288280 19578880 19589120 29261248 31342592 36576560 39157760 39178240 58522496 62685184 73153120 78315520 78356480 117044992 125370368 146306240 156712960 234089984 292612480 313425920 468179968 585224960 626851840 936359936 1170449920 1872719872 2340899840 3745439744 4681799680 7490879488 9363599360 14981758976 18727198720 29963517952 37454397440 74908794880 149817589760