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152554120000 = 26544618273
BaseRepresentation
bin1000111000010011101…
…1110010001101000000
3112120202202111020211121
42032010323302031000
54444412323320000
6154025444122024
714010301424152
oct2160473621500
9476682436747
10152554120000
1159774907327
1225696096314
131150277a379
147552a8cad2
153e7ce4ab1a
hex2384ef2340

152554120000 has 140 divisors (see below), whose sum is σ = 379151035956. Its totient is φ = 60881920000.

The previous prime is 152554119989. The next prime is 152554120003. The reversal of 152554120000 is 21455251.

It can be written as a sum of positive squares in 10 ways, for example, as 111299635456 + 41254484544 = 333616^2 + 203112^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152554120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18435864 + ... + 18444136.

Almost surely, 2152554120000 is an apocalyptic number.

152554120000 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 152554120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189575517978).

152554120000 is an abundant number, since it is smaller than the sum of its proper divisors (226596915956).

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

152554120000 is an frugal number, since it uses more digits than its factorization.

152554120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 152554120000 its reverse (21455251), we get a palindrome (152575575251).

The spelling of 152554120000 in words is "one hundred fifty-two billion, five hundred fifty-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 461 500 625 800 922 1000 1250 1600 1844 2000 2305 2500 3688 4000 4610 5000 7376 8000 8273 9220 10000 11525 14752 16546 18440 20000 23050 29504 33092 36880 40000 41365 46100 57625 66184 73760 82730 92200 115250 132368 147520 165460 184400 206825 230500 264736 288125 330920 368800 413650 461000 529472 576250 661840 737600 827300 922000 1034125 1152500 1323680 1654600 1844000 2068250 2305000 2647360 3309200 3688000 3813853 4136500 4610000 5170625 6618400 7627706 8273000 9220000 10341250 13236800 15255412 16546000 18440000 19069265 20682500 30510824 33092000 38138530 41365000 61021648 66184000 76277060 82730000 95346325 122043296 152554120 165460000 190692650 244086592 305108240 330920000 381385300 476731625 610216480 762770600 953463250 1220432960 1525541200 1906926500 2383658125 3051082400 3813853000 4767316250 6102164800 7627706000 9534632500 15255412000 19069265000 30510824000 38138530000 76277060000 152554120000