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3973698040 = 2351323834003
BaseRepresentation
bin1110110011011001…
…1101000111111000
3101020221012202221111
43230312131013320
531114231314130
61454150050104
7200320606324
oct35466350770
911227182844
103973698040
11175a05a174
1292a949934
134b4342a20
14299a68984
15183ccc02a
hexecd9d1f8

3973698040 has 128 divisors (see below), whose sum is σ = 10170800640. Its totient is φ = 1386164736.

The previous prime is 3973698013. The next prime is 3973698101. The reversal of 3973698040 is 408963793.

It is a super-2 number, since 2×39736980402 = 31580552226199683200, which 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990679 + ... + 994681.

It is an arithmetic number, because the mean of its divisors is an integer number (79459380).

Almost surely, 23973698040 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 3973698040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085400320).

3973698040 is an abundant number, since it is smaller than the sum of its proper divisors (6197102600).

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

3973698040 is a wasteful number, since it uses less digits than its factorization.

3973698040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The square root of 3973698040 is about 63037.2750045558. The cubic root of 3973698040 is about 1583.9140846762.

The spelling of 3973698040 in words is "three billion, nine hundred seventy-three million, six hundred ninety-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 83 92 104 115 130 166 184 230 260 299 332 415 460 520 598 664 830 920 1079 1196 1495 1660 1909 2158 2392 2990 3320 3818 4003 4316 5395 5980 7636 8006 8632 9545 10790 11960 15272 16012 19090 20015 21580 24817 32024 38180 40030 43160 49634 52039 76360 80060 92069 99268 104078 124085 160120 184138 198536 208156 248170 260195 332249 368276 416312 460345 496340 520390 664498 736552 920690 992680 1040780 1196897 1328996 1661245 1841380 2081560 2393794 2657992 3322490 3682760 4319237 4787588 5984485 6644980 7641727 8638474 9575176 11968970 13289960 15283454 17276948 21596185 23937940 30566908 34553896 38208635 43192370 47875880 61133816 76417270 86384740 99342451 152834540 172769480 198684902 305669080 397369804 496712255 794739608 993424510 1986849020 3973698040