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3973118420 = 2258911319753
BaseRepresentation
bin1110110011010000…
…1111100111010100
3101020220010022212002
43230310033213110
531114104242140
61454125414432
7200312643425
oct35464174724
911226108762
103973118420
1117597a3747
1292a70a418
134b419bc5b
1429995764c
15183c15415
hexecd0f9d4

3973118420 has 48 divisors (see below), whose sum is σ = 8512393680. Its totient is φ = 1557405696.

The previous prime is 3973118411. The next prime is 3973118473. The reversal of 3973118420 is 248113793.

It can be written as a sum of positive squares in 8 ways, for example, as 1552675216 + 2420443204 = 39404^2 + 49198^2 .

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, 191264 + ... + 211016.

It is an arithmetic number, because the mean of its divisors is an integer number (177341535).

Almost surely, 23973118420 is an apocalyptic number.

It is an amenable number.

3973118420 is an abundant number, since it is smaller than the sum of its proper divisors (4539275260).

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

3973118420 is a wasteful number, since it uses less digits than its factorization.

3973118420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19964 (or 19962 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 3973118420 is about 63032.6773983146. The cubic root of 3973118420 is about 1583.8370688491.

The spelling of 3973118420 in words is "three billion, nine hundred seventy-three million, one hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 89 113 178 226 356 445 452 565 890 1130 1780 2260 10057 19753 20114 39506 40228 50285 79012 98765 100570 197530 201140 395060 1758017 2232089 3516034 4464178 7032068 8790085 8928356 11160445 17580170 22320890 35160340 44641780 198655921 397311842 794623684 993279605 1986559210 3973118420