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381623657152 = 2637721122349
BaseRepresentation
bin1011000110110101000…
…10101110001011000000
31100111001000020102122011
411203122202232023000
522223031124012102
6451152051222304
736366663364303
oct5433242561300
91314030212564
10381623657152
11137933672aa1
1261b64ba7994
1329caa4603aa
14146837acb3a
159dd84a12d7
hex58da8ae2c0

381623657152 has 56 divisors (see below), whose sum is σ = 777894253200. Its totient is φ = 185620700160.

The previous prime is 381623657087. The next prime is 381623657197. The reversal of 381623657152 is 251756326183.

It is a happy number.

It is a super-2 number, since 2×3816236571522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 381623657096 and 381623657105.

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 7 ways as a sum of consecutive naturals, for example, 17064474 + ... + 17086822.

Almost surely, 2381623657152 is an apocalyptic number.

381623657152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

381623657152 is an abundant number, since it is smaller than the sum of its proper divisors (396270596048).

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

381623657152 is a wasteful number, since it uses less digits than its factorization.

381623657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29609 (or 29599 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 49.

The spelling of 381623657152 in words is "three hundred eighty-one billion, six hundred twenty-three million, six hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 7211 14422 22349 28844 44698 57688 89396 115376 178792 230752 266807 357584 461504 533614 715168 826913 1067228 1430336 1653826 2134456 3307652 4268912 6615304 8537824 13230608 17075648 26461216 52922432 161158639 322317278 644634556 1289269112 2578538224 5157076448 5962869643 10314152896 11925739286 23851478572 47702957144 95405914288 190811828576 381623657152