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47070288880 = 2456110619091
BaseRepresentation
bin101011110101100110…
…111001101111110000
311111111102001102111121
4223311212321233300
51232344443221010
633342423352024
73254305565626
oct536546715760
9144442042447
1047070288880
1118a64a5079a
1291578b2614
134591ac8654
1423c75c3516
1513575873da
hexaf59b9bf0

47070288880 has 80 divisors (see below), whose sum is σ = 111349578528. Its totient is φ = 18499968000.

The previous prime is 47070288841. The next prime is 47070288893. The reversal of 47070288880 is 8888207074.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×470702888802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5173135 + ... + 5182225.

Almost surely, 247070288880 is an apocalyptic number.

47070288880 is a gapful number since it is divisible by the number (40) 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 47070288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55674789264).

47070288880 is an abundant number, since it is smaller than the sum of its proper divisors (64279289648).

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

47070288880 is a wasteful number, since it uses less digits than its factorization.

47070288880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10226 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 52.

The spelling of 47070288880 in words is "forty-seven billion, seventy million, two hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1061 1220 2122 2440 4244 4880 5305 8488 9091 10610 16976 18182 21220 36364 42440 45455 64721 72728 84880 90910 129442 145456 181820 258884 323605 363640 517768 554551 647210 727280 1035536 1109102 1294420 2218204 2588840 2772755 4436408 5177680 5545510 8872816 9645551 11091020 19291102 22182040 38582204 44364080 48227755 77164408 96455510 154328816 192911020 385822040 588378611 771644080 1176757222 2353514444 2941893055 4707028888 5883786110 9414057776 11767572220 23535144440 47070288880