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381022597152 = 2532363732
BaseRepresentation
bin1011000101101101011…
…01110111000000100000
31100102111010020102022200
411202312231313000200
522220313241102102
6451012300333200
736346044431631
oct5426655670040
91312433212280
10381022597152
1113765536079a
1261a17844200
1329c12a831a2
1414627a2b888
159da082451c
hex58b6b77020

381022597152 has 54 divisors (see below), whose sum is σ = 1083562800957. Its totient is φ = 127004040576.

The previous prime is 381022597141. The next prime is 381022597159. The reversal of 381022597152 is 251795220183.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

381022597152 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 2 + 2 + 597 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 369027090576 + 11995506576 = 607476^2 + 109524^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=436476.

It is a super-2 number, since 2×3810225971522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 381022597098 and 381022597107.

It is not an unprimeable number, because it can be changed into a prime (381022597159) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10457238 + ... + 10493610.

Almost surely, 2381022597152 is an apocalyptic number.

381022597152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

381022597152 is an abundant number, since it is smaller than the sum of its proper divisors (702540203805).

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

381022597152 is an frugal number, since it uses more digits than its factorization.

381022597152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72762 (or 36378 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 381022597152 in words is "three hundred eighty-one billion, twenty-two million, five hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36373 72746 109119 145492 218238 290984 327357 436476 581968 654714 872952 1163936 1309428 1745904 2618856 3491808 5237712 10475424 1322995129 2645990258 3968985387 5291980516 7937970774 10583961032 11906956161 15875941548 21167922064 23813912322 31751883096 42335844128 47627824644 63503766192 95255649288 127007532384 190511298576 381022597152