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47738308552704 = 211347113123889
BaseRepresentation
bin10101101101010111100001…
…11011000110100000000000
320021000201220210200111110000
422312223300323012200000
522224121023442141304
6245310402020240000
713024656534340110
oct1266536073064000
9207021823614400
1047738308552704
1114235780708720
125430006b40000
13208391ab6bb93
14bb07916c7040
1557bbb2745939
hex2b6af0ec6800

47738308552704 has 1440 divisors, whose sum is σ = 183742389230400. Its totient is φ = 11996489318400.

The previous prime is 47738308552691. The next prime is 47738308552801. The reversal of 47738308552704 is 40725580383774.

It is a happy number.

47738308552704 is a `hidden beast` number, since 4 + 7 + 7 + 3 + 8 + 3 + 0 + 8 + 552 + 70 + 4 = 666.

It is a super-2 number, since 2×477383085527042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12275212392 + ... + 12275216280.

It is an arithmetic number, because the mean of its divisors is an integer number (127598881410).

Almost surely, 247738308552704 is an apocalyptic number.

47738308552704 is a gapful number since it is divisible by the number (44) 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 47738308552704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91871194615200).

47738308552704 is an abundant number, since it is smaller than the sum of its proper divisors (136004080677696).

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

47738308552704 is a wasteful number, since it uses less digits than its factorization.

47738308552704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 63.

The spelling of 47738308552704 in words is "forty-seven trillion, seven hundred thirty-eight billion, three hundred eight million, five hundred fifty-two thousand, seven hundred four".