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47121631600 = 2452337349567
BaseRepresentation
bin101011111000101010…
…110000100101110000
311111121222122220110211
4223320222300211300
51233001114202400
633351500033504
73255501155101
oct537052604560
9144558586424
1047121631600
1118a90a2929a
129170b32894
13459c633c64
1423d034a3a8
15135bd29dba
hexaf8ab0970

47121631600 has 60 divisors (see below), whose sum is σ = 113545978624. Its totient is φ = 18792668160.

The previous prime is 47121631591. The next prime is 47121631631. The reversal of 47121631600 is 613612174.

It is a super-2 number, since 2×471216316002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 39984 + ... + 309583.

Almost surely, 247121631600 is an apocalyptic number.

47121631600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47121631600 is an abundant number, since it is smaller than the sum of its proper divisors (66424347024).

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

47121631600 is a wasteful number, since it uses less digits than its factorization.

47121631600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349922 (or 349911 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 47121631600 in words is "forty-seven billion, one hundred twenty-one million, six hundred thirty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 337 400 674 1348 1685 2696 3370 5392 6740 8425 13480 16850 26960 33700 67400 134800 349567 699134 1398268 1747835 2796536 3495670 5593072 6991340 8739175 13982680 17478350 27965360 34956700 69913400 117804079 139826800 235608158 471216316 589020395 942432632 1178040790 1884865264 2356081580 2945101975 4712163160 5890203950 9424326320 11780407900 23560815800 47121631600