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3973101990 = 2351113926131
BaseRepresentation
bin1110110011010000…
…1011100110100110
3101020220002111022120
43230310023212212
531114103230430
61454125210410
7200312544504
oct35464134646
911226074276
103973101990
111759792370
1292a700a06
134b4194630
14299951674
15183c10610
hexecd0b9a6

3973101990 has 64 divisors (see below), whose sum is σ = 11202492672. Its totient is φ = 889084800.

The previous prime is 3973101983. The next prime is 3973101991. The reversal of 3973101990 is 991013793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973101991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458776 + ... + 467355.

It is an arithmetic number, because the mean of its divisors is an integer number (175038948).

Almost surely, 23973101990 is an apocalyptic number.

3973101990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3973101990 is an abundant number, since it is smaller than the sum of its proper divisors (7229390682).

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

3973101990 is a wasteful number, since it uses less digits than its factorization.

3973101990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926165.

The product of its (nonzero) digits is 45927, while the sum is 42.

The square root of 3973101990 is about 63032.5470689548. The cubic root of 3973101990 is about 1583.8348856372.

The spelling of 3973101990 in words is "three billion, nine hundred seventy-three million, one hundred one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 926131 1852262 2778393 4630655 5556786 9261310 10187441 12039703 13891965 20374882 24079406 27783930 30562323 36119109 50937205 60198515 61124646 72238218 101874410 120397030 132436733 152811615 180595545 264873466 305623230 361191090 397310199 662183665 794620398 1324367330 1986550995 3973101990