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47070219112992 = 2532674999487973
BaseRepresentation
bin10101011001111011000111…
…01100001001001000100000
320011122212110111112112002100
422230331203230021020200
522132144302043103432
6244035432105050400
712625465623654045
oct1254754354111040
9204585414475070
1047070219112992
1113aa84056312a9
125342635186a00
13203591985749a
14b8a2d44831cc
1556960edae07c
hex2acf63b09220

47070219112992 has 144 divisors (see below), whose sum is σ = 135881240040000. Its totient is φ = 15452769378816.

The previous prime is 47070219112981. The next prime is 47070219113011. The reversal of 47070219112992 is 29921191207074.

47070219112992 is a `hidden beast` number, since 4 + 70 + 70 + 219 + 1 + 1 + 299 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96216718 + ... + 96704690.

It is an arithmetic number, because the mean of its divisors is an integer number (943619722500).

Almost surely, 247070219112992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47070219112992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67940620020000).

47070219112992 is an abundant number, since it is smaller than the sum of its proper divisors (88811020927008).

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

47070219112992 is a wasteful number, since it uses less digits than its factorization.

47070219112992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493055 (or 493044 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 47070219112992 in words is "forty-seven trillion, seventy billion, two hundred nineteen million, one hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 4999 6432 9648 9998 14997 19296 19996 29994 39992 44991 59988 79984 89982 119976 159968 179964 239952 334933 359928 479904 487973 669866 719856 975946 1004799 1339732 1439712 1463919 1951892 2009598 2679464 2927838 3014397 3903784 4019196 4391757 5358928 5855676 6028794 7807568 8038392 8783514 10717856 11711352 12057588 15615136 16076784 17567028 23422704 24115176 32153568 32694191 35134056 46845408 48230352 65388382 70268112 96460704 98082573 130776764 140536224 196165146 261553528 294247719 392330292 523107056 588495438 784660584 1046214112 1176990876 1569321168 2353981752 2439377027 3138642336 4707963504 4878754054 7318131081 9415927008 9757508108 14636262162 19515016216 21954393243 29272524324 39030032432 43908786486 58545048648 78060064864 87817572972 117090097296 163438260809 175635145944 234180194592 326876521618 351270291888 490314782427 653753043236 702540583776 980629564854 1307506086472 1470944347281 1961259129708 2615012172944 2941888694562 3922518259416 5230024345888 5883777389124 7845036518832 11767554778248 15690073037664 23535109556496 47070219112992