Search a number
-
+
70223635093248 = 2833713151739369
BaseRepresentation
bin11111111011110001101101…
…10100110001011100000000
3100012122022110212111121001000
433331320312310301130000
533201021001040440443
6405204143111412000
720535330066406320
oct1775706664613400
9305568425447030
1070223635093248
112041474931373a
127a61989384000
1330250a2849c50
14134abb0915280
1581ba27dca8d3
hex3fde36d31700

70223635093248 has 576 divisors, whose sum is σ = 257278992947200. Its totient is φ = 18397841817600.

The previous prime is 70223635093127. The next prime is 70223635093259. The reversal of 70223635093248 is 84239053632207.

It is a happy number.

70223635093248 is a `hidden beast` number, since 7 + 0 + 2 + 2 + 3 + 63 + 509 + 32 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 70223635093194 and 70223635093203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94608108 + ... + 95347476.

Almost surely, 270223635093248 is an apocalyptic number.

70223635093248 is a gapful number since it is divisible by the number (78) 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 70223635093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128639496473600).

70223635093248 is an abundant number, since it is smaller than the sum of its proper divisors (187055357853952).

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

70223635093248 is a wasteful number, since it uses less digits than its factorization.

70223635093248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739565 (or 739545 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 70223635093248 in words is "seventy trillion, two hundred twenty-three billion, six hundred thirty-five million, ninety-three thousand, two hundred forty-eight".