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47211236141640 = 233523314931130963
BaseRepresentation
bin10101011110000001110001…
…11101011010101001001000
320012011100110012221210212020
422233000320331122221020
522142002102423013030
6244224313101244440
712641620304636334
oct1257007075325110
9205140405853766
1047211236141640
111405219a00a08a
125365a2b563720
13204600103947c
14b93070bb27c4
1556d115027510
hex2af038f5aa48

47211236141640 has 128 divisors (see below), whose sum is σ = 142336976595840. Its totient is φ = 12527222736896.

The previous prime is 47211236141639. The next prime is 47211236141647. The reversal of 47211236141640 is 4614163211274.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 47211236141592 and 47211236141601.

It is not an unprimeable number, because it can be changed into a prime (47211236141647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41178799 + ... + 42309761.

It is an arithmetic number, because the mean of its divisors is an integer number (1112007629655).

Almost surely, 247211236141640 is an apocalyptic number.

47211236141640 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 47211236141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71168488297920).

47211236141640 is an abundant number, since it is smaller than the sum of its proper divisors (95125740454200).

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

47211236141640 is a wasteful number, since it uses less digits than its factorization.

47211236141640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132703 (or 1132699 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 47211236141640 in words is "forty-seven trillion, two hundred eleven billion, two hundred thirty-six million, one hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 699 932 1165 1398 1493 1864 2330 2796 2986 3495 4479 4660 5592 5972 6990 7465 8958 9320 11944 13980 14930 17916 22395 27960 29860 35832 44790 59720 89580 179160 347869 695738 1043607 1130963 1391476 1739345 2087214 2261926 2782952 3392889 3478690 4174428 4523852 5218035 5654815 6785778 6957380 8348856 9047704 10436070 11309630 13571556 13914760 16964445 20872140 22619260 27143112 33928890 41744280 45238520 67857780 135715560 263514379 527028758 790543137 1054057516 1317571895 1581086274 1688527759 2108115032 2635143790 3162172548 3377055518 3952715685 5065583277 5270287580 6324345096 6754111036 7905431370 8442638795 10131166554 10540575160 13508222072 15810862740 16885277590 20262333108 25327916385 31621725480 33770555180 40524666216 50655832770 67541110360 101311665540 202623331080 393426967847 786853935694 1180280903541 1573707871388 1967134839235 2360561807082 3147415742776 3934269678470 4721123614164 5901404517705 7868539356940 9442247228328 11802809035410 15737078713880 23605618070820 47211236141640