Search a number
-
+
755270001216 = 26332233974937
BaseRepresentation
bin10101111110110011001…
…10011010001001000000
32200012111001202100222000
422333121212122021000
544333243110014331
61334544413144000
7105365203041213
oct12773146321100
92605431670860
10755270001216
11271343253655
1210246248b000
13562b5c91a83
14287ab8db77a
15149a64390e6
hexafd999a240

755270001216 has 224 divisors, whose sum is σ = 2236381486080. Its totient is φ = 249945772032.

The previous prime is 755270001173. The next prime is 755270001247. The reversal of 755270001216 is 612100072557.

755270001216 is a `hidden beast` number, since 7 + 5 + 527 + 0 + 0 + 0 + 121 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 152979100 + ... + 152984036.

It is an arithmetic number, because the mean of its divisors is an integer number (9983845920).

Almost surely, 2755270001216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755270001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118190743040).

755270001216 is an abundant number, since it is smaller than the sum of its proper divisors (1481111484864).

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

755270001216 is a wasteful number, since it uses less digits than its factorization.

755270001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 755270001216 in words is "seven hundred fifty-five billion, two hundred seventy million, one thousand, two hundred sixteen".