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380641643325840 = 243513171910116322943
BaseRepresentation
bin101011010001100010000100…
…1111011111110100110010000
31211220201222121120220210201210
41112203010021323332212100
5344342413041142411330
63425320205032100120
7143114310523105611
oct12643041173764620
91756658546823653
10380641643325840
1110031423a394226
1236836a98234640
131345147856c130
1469dd2221adc08
152e015690088b0
hex15a3109efe990

380641643325840 has 1280 divisors, whose sum is σ = 1439185006264320. Its totient is φ = 82205333913600.

The previous prime is 380641643325817. The next prime is 380641643325871. The reversal of 380641643325840 is 48523346146083.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16590741409 + ... + 16590764351.

It is an arithmetic number, because the mean of its divisors is an integer number (1124363286144).

Almost surely, 2380641643325840 is an apocalyptic number.

380641643325840 is a gapful number since it is divisible by the number (30) 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 380641643325840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719592503132160).

380641643325840 is an abundant number, since it is smaller than the sum of its proper divisors (1058543362938480).

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

380641643325840 is a wasteful number, since it uses less digits than its factorization.

380641643325840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23272 (or 23266 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 57.

The spelling of 380641643325840 in words is "three hundred eighty trillion, six hundred forty-one billion, six hundred forty-three million, three hundred twenty-five thousand, eight hundred forty".