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70530157440 = 2732519164109
BaseRepresentation
bin100000110101111101…
…1001100101110000000
320202001100221020011100
41001223323030232000
52123421210014230
652222350014400
75044542306111
oct1015373145600
9222040836140
1070530157440
1127a03487216
12118044a7400
13686022b292
1435b11bc208
151c7be34660
hex106beccb80

70530157440 has 192 divisors, whose sum is σ = 244828396800. Its totient is φ = 18709278720.

The previous prime is 70530157421. The next prime is 70530157457. The reversal of 70530157440 is 4475103507.

It is a happy number.

70530157440 is a `hidden beast` number, since 7 + 0 + 530 + 15 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×705301574402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 70530157395 and 70530157404.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1068106 + ... + 1132214.

It is an arithmetic number, because the mean of its divisors is an integer number (1275147900).

Almost surely, 270530157440 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 70530157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122414198400).

70530157440 is an abundant number, since it is smaller than the sum of its proper divisors (174298239360).

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

70530157440 is a wasteful number, since it uses less digits than its factorization.

70530157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64325 (or 64310 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 70530157440 in words is "seventy billion, five hundred thirty million, one hundred fifty-seven thousand, four hundred forty".